Atkin-Lehner |
5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7975b |
Isogeny class |
Conductor |
7975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12880 |
Modular degree for the optimal curve |
Δ |
-144546875 = -1 · 56 · 11 · 292 |
Discriminant |
Eigenvalues |
-2 3 5+ -4 11+ -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-925,-10844] |
[a1,a2,a3,a4,a6] |
j |
-5601816576/9251 |
j-invariant |
L |
0.86560774581858 |
L(r)(E,1)/r! |
Ω |
0.43280387290929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127600bi1 71775bl1 319a1 87725g1 |
Quadratic twists by: -4 -3 5 -11 |