Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
87725l |
Isogeny class |
Conductor |
87725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
60707104970703125 = 510 · 118 · 29 |
Discriminant |
Eigenvalues |
0 2 5+ -5 11- -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-155283,-20299907] |
[a1,a2,a3,a4,a6] |
Generators |
[-7251:37799:27] |
Generators of the group modulo torsion |
j |
123633664/18125 |
j-invariant |
L |
4.4627771789203 |
L(r)(E,1)/r! |
Ω |
0.2428580206765 |
Real period |
R |
1.5313395753745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17545f1 87725b1 |
Quadratic twists by: 5 -11 |