Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
90738q |
Isogeny class |
Conductor |
90738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
3394735408879123968 = 29 · 36 · 717 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 0 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-530250,119417588] |
[a1,a2,a3,a4,a6] |
Generators |
[-355985389:20421421377:1295029] |
Generators of the group modulo torsion |
j |
176558481/36352 |
j-invariant |
L |
7.6958358769772 |
L(r)(E,1)/r! |
Ω |
0.23737215810347 |
Real period |
R |
16.210485552721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10082m1 1278d1 |
Quadratic twists by: -3 -71 |