A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties

Jennifer S. Balakrishnan, J. Steffen Müller, William A. Stein

Mazur, Tate, and Teitelbaum gave a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for elliptic curves. We provide a generalization of their conjecture in the good ordi…