Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610a |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
2431556092975050000 = 24 · 33 · 55 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2425035,1452202741] |
[a1,a2,a3,a4,a6] |
j |
32431240269/50000 |
j-invariant |
L |
0.5153638287138 |
L(r)(E,1)/r! |
Ω |
0.25768191454375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610bi1 47610h1 |
Quadratic twists by: -3 -23 |