Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15376q |
Isogeny class |
Conductor |
15376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
246016 = 28 · 312 |
Discriminant |
Eigenvalues |
2+ 3 3 -3 5 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31,62] |
[a1,a2,a3,a4,a6] |
j |
13392 |
j-invariant |
L |
6.1109763513357 |
L(r)(E,1)/r! |
Ω |
3.0554881756678 |
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 |
7688q1 61504cg1 15376e1 |
Quadratic twists by: -4 8 -31 |