Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782bj |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
33056048807936 = 218 · 7 · 112 · 533 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21088,-1140477] |
[a1,a2,a3,a4,a6] |
Generators |
[381:-6975:1] |
Generators of the group modulo torsion |
j |
8570876024071449/273190486016 |
j-invariant |
L |
8.8452419635375 |
L(r)(E,1)/r! |
Ω |
0.39695398850668 |
Real period |
R |
0.41264424061847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782h1 |
Quadratic twists by: -11 |