Tables of Special Values

Abstract

In the remaining pages we display three sets of tables of algebraic parts of special values of L-functions,

$$A\left( X \right) = \frac{{\pi \left( {\mathop X\limits^ -} \right)\;\;L\left( {f,X,l} \right)}}{{\Omega _f^{{\mathop{\rm sgn}} \left( X \right)}}}$$

Here χ denotes a primitive quadratic character of conductor m_χ. In the first two sets of tables m_χ is taken to be positive or negative depending on whether χ(−1) = sgn χ is plus or minus one. The modular form f ranges through the weight two parabolic eigenforms for the following modular curves:

• 1. X0 (N), N prime ≤ 43;

• 2. Genus one curves X0 (N), N = 14, 15, 20, 21, 24, 27, 32, 36, 49;

• 3. X1 (13).

The complex number $\Omega _f^{{\mathop{\rm sgn}} \chi }$ is an appropriate period of f(z)dz on the corresponding modular curves.