Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950b |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1053360 |
Modular degree for the optimal curve |
Δ |
-3574176620000000000 = -1 · 211 · 510 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,75924,90608298] |
[a1,a2,a3,a4,a6] |
Generators |
[-186114773306190:25496473556746137:2752829453375] |
Generators of the group modulo torsion |
j |
859775/63488 |
j-invariant |
L |
4.8943206145915 |
L(r)(E,1)/r! |
Ω |
0.19073453374535 |
Real period |
R |
25.660379997708 |
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 |
75950cz1 75950bb1 |
Quadratic twists by: 5 -7 |