HSBC looks at moving headquarters from Britain

* Hong Kong seen as most likely destination for HSBC

* Announcement comes two weeks before UK elections

* Investors urge HSBC, StanChart to mull move after UK tax rise

* HSBC shares up 3 percent, a four-month high

* GRAPHIC: HSBC and StanChart: http://link.reuters.com/zav54w (Recasts, updates shares, adds background)

By Steve Slater and Sinead Cruise

LONDON, April 24 (Reuters) - HSBC, Europe's biggest bank, has ordered a review into whether it should move its headquarters out of Britain and potentially back to its former home in Hong Kong, threatening London's reputation as a global hub for finance and investment.

The announcement from HSBC, founded in Asia but a key part of the British establishment, prompted a warm response from Hong Kong, where it is revered as "The Bank", and silence from Downing Street.

News of the review comes less than two weeks before UK parliamentary elections on May 7 and poses challenges for both Prime Minister David Cameron, who is seeking to return to power, and his Labour party rival, Ed Miliband.

HSBC has been one of the most vocal critics of the new regulations and additional taxes imposed on British banks in the wake of the financial crisis and Chairman Douglas Flint singled out the threat of Britain withdrawing from the European Union in a speech to investors on Friday.

Cameron has pledged to hold a referendum on Britain's membership of the EU if his Conservative party is re-elected and the opposition Labour party seized on HSBC's announcement.

"HSBC is just the latest in a long line of companies warning of the dangers of a re-elected Tory (Conservative) government taking Britain out of the European Union," said Labour finance spokesman Ed Balls.

A Conservative spokesman declined to comment on HSBC's announcement, but said Britain's future membership of the EU was a decision for the British people.

Labour's plans to raise taxes on banks if it comes to power may also influence HSBC. The bank is already expected to pay $1.5 billion under a UK bank levy this year, or about 7 percent of expected profits because it is taxed on its global balance sheet. That charge is up from $1.1 billion last year.

Taxes, tougher regulation and rocketing house prices have already encouraged some banks to move operations out of London, even before the threat of a possible exit from the EU.

Some HSBC shareholders have been urging the bank to consider returning to Hong Kong to cut costs and Friday's announcement prompted a 3 percent rise in its stock, helping to lift Britain's top share index back towards its record high.