+1 on the coment about Stronglight double cranks needing at least 118mm long spindles. That is what is typically used on that brand crank, I suspect TA cranks will be similar. If you are going with a non-Stronglight, non-French ISO tapered crank, you might need a spindle legnth more towards 110 to 113mm. So be careful before deciding which legnth spindle to get. 120mm and longer is usually used on triple cranks.
There's a lot of used and new Stronglight spindles of different legnths that go for auction at eBay too.
Chombi