Atkin-Lehner |
5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
96775o |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
793044564798828125 = 59 · 77 · 793 |
Discriminant |
Eigenvalues |
2 2 5- 7- 3 5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10042958,-12246704807] |
[a1,a2,a3,a4,a6] |
Generators |
[98852283323296238062:13425277055441187792397:5200556398191064] |
Generators of the group modulo torsion |
j |
487517731057664/3451273 |
j-invariant |
L |
21.464538719529 |
L(r)(E,1)/r! |
Ω |
0.084807512281376 |
Real period |
R |
31.637142368227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96775q1 13825d1 |
Quadratic twists by: 5 -7 |