Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725t |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
36673857675 = 311 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 3 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22220,-1284135] |
[a1,a2,a3,a4,a6] |
j |
287183643885385/8680203 |
j-invariant |
L |
3.1282522747858 |
L(r)(E,1)/r! |
Ω |
0.39103153585148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725cc1 88725g1 |
Quadratic twists by: 5 13 |