Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975ca |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-35624984484375 = -1 · 32 · 56 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5987,-224608] |
[a1,a2,a3,a4,a6] |
j |
857375/1287 |
j-invariant |
L |
1.3805757925793 |
L(r)(E,1)/r! |
Ω |
0.34514418718422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719c1 10725g1 |
Quadratic twists by: 5 -11 |