Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725cj |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
12355200 |
Modular degree for the optimal curve |
Δ |
2.7659016607876E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -3 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93881701,-350120788327] |
[a1,a2,a3,a4,a6] |
Generators |
[-44842:43711:8] [-5573:4061:1] |
Generators of the group modulo torsion |
j |
287183643885385/8680203 |
j-invariant |
L |
15.661617526551 |
L(r)(E,1)/r! |
Ω |
0.048501492765349 |
Real period |
R |
1.6308586376976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88725g1 88725cc1 |
Quadratic twists by: 5 13 |