Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440g |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5322283200 = 26 · 39 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,7668] |
[a1,a2,a3,a4,a6] |
j |
42144192/4225 |
j-invariant |
L |
2.6392435418967 |
L(r)(E,1)/r! |
Ω |
1.3196217709376 |
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 |
37440k1 18720y2 37440w1 |
Quadratic twists by: -4 8 -3 |