论文标题
具有复杂乘法的椭圆曲线中央$ l $值的2次估值的下限
Lower bound for the 2-adic valuations of central $L$-values of elliptic curves with complex multiplication
论文作者
论文摘要
令$ e _ { - d} $为椭圆曲线$ y^2 = x^3+dx $在$ k = \ mathbb {q}（q}（i）$ for $ d \ in k $中的$ d \ in 2。在本文中，我们给出了一个较低的限制，我们给出了一个较低的限制，以$ $ $ - $ e _ { - d} $。
Let $E_{-D}$ be the elliptic curve $y^2=x^3+Dx$ defined over $K=\mathbb{Q}(i)$ for $D\in K$ which is coprime to 2. In this paper, we give a lower bound for the 2-adic valuation of the algebraic part of the central value of Hecke $L$-function associated to $E_{-D}$.
