Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725g |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2471040 |
Modular degree for the optimal curve |
Δ |
177017706290409075 = 311 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -3 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3755268,-2802468414] |
[a1,a2,a3,a4,a6] |
Generators |
[-817146:592190:729] |
Generators of the group modulo torsion |
j |
287183643885385/8680203 |
j-invariant |
L |
2.0759983024192 |
L(r)(E,1)/r! |
Ω |
0.10845263483353 |
Real period |
R |
9.5709905711782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725cj1 88725t1 |
Quadratic twists by: 5 13 |