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On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication (1303.5218v2)
Published 21 Mar 2013 in math.NT
Abstract: Given an elliptic curve E over Q with complex multiplication having good reduction at 2, we investigate the 2-adic valuation of the algebraic part of the L-value at 1 for a family of quadratic twists. In particular, we prove a lower bound for this valuation in terms of the Tamagawa number in a form predicted by the conjecture of Birch and Swinnerton-Dyer.
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