Atkin-Lehner |
2- 3- 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
80592bj |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
5830971752448 = 224 · 32 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116192,-15282828] |
[a1,a2,a3,a4,a6] |
Generators |
[321812190:-27853160448:42875] |
Generators of the group modulo torsion |
j |
42354170793976033/1423577088 |
j-invariant |
L |
11.405297016628 |
L(r)(E,1)/r! |
Ω |
0.25858662758353 |
Real period |
R |
11.026572723749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074q1 |
Quadratic twists by: -4 |