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Jul 2, 2011 at 14:23 comment added David E Speyer This is an interesting answer, which I have learned from, but I worry that it is addressing a more difficult question than the intended one. Let me leave a comment that may help: This answer (at least the second part) is about the Atkin-Lehner involution on Shimura curves. My answer is about the Atkin-Lehner involution on modular curves, which are older objects, and are the ones which are most immediately related to modular forms.
Jun 29, 2011 at 23:57 history edited stankewicz CC BY-SA 3.0
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Jun 29, 2011 at 21:23 history answered stankewicz CC BY-SA 3.0