Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136bc |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
50176 = 210 · 72 |
Discriminant |
Eigenvalues |
2- -3 -1 7- -1 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
1.878315855369 |
L(r)(E,1)/r! |
Ω |
2.0780490493655 |
Real period |
R |
0.90388427354132 |
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 |
3136n1 784f1 28224fj1 78400ix1 |
Quadratic twists by: -4 8 -3 5 |