Periods of Quadratic Twists of Elliptic Curves

Abstract

In this paper we prove a relation between the period of an elliptic curve and the period of its real and imaginary quadratic twists. This relation is often misstated in the literature.

To appear in the Proceedings of the AMS

Cited by in corpus (1)

• Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves