Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
32436c |
Isogeny class |
Conductor |
32436 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
4540002048 = 28 · 39 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 3 2 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,4894] |
[a1,a2,a3,a4,a6] |
Generators |
[23:54:1] |
Generators of the group modulo torsion |
j |
137842000/24327 |
j-invariant |
L |
6.4380086510102 |
L(r)(E,1)/r! |
Ω |
1.3115594978582 |
Real period |
R |
0.40905557223566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744x1 10812g1 |
Quadratic twists by: -4 -3 |