Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610bu |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
29675520 |
Modular degree for the optimal curve |
Δ |
-3.8475305750177E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 6 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-157463033,1212077776281] |
[a1,a2,a3,a4,a6] |
j |
-14297287761529/12740198400 |
j-invariant |
L |
4.1060551611862 |
L(r)(E,1)/r! |
Ω |
0.048881609067581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870f1 47610cg1 |
Quadratic twists by: -3 -23 |