Atkin-Lehner |
2+ 3- 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582j |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
14155776 |
Modular degree for the optimal curve |
Δ |
1.7714884123844E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32091543,-28198935779] |
[a1,a2,a3,a4,a6] |
j |
5013811341697808624092273/2430025257043015227648 |
j-invariant |
L |
0.79909061346015 |
L(r)(E,1)/r! |
Ω |
0.066590882614033 |
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 |
25194q1 |
Quadratic twists by: -3 |