Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600cl |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-170120970240000000 = -1 · 232 · 3 · 57 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115408,-24968812] |
[a1,a2,a3,a4,a6] |
j |
-2656166199049/2658140160 |
j-invariant |
L |
3.9835907100982 |
L(r)(E,1)/r! |
Ω |
0.12448720969057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1950q1 62400ej1 46800eh1 3120o1 |
Quadratic twists by: -4 8 -3 5 |