Atkin-Lehner |
3- 13- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421t |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
5.0672546557845E+21 |
Discriminant |
Eigenvalues |
1 3- 3 -1 -5 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-284845158,1850449960957] |
[a1,a2,a3,a4,a6] |
j |
3506087164904542855168283233/6950966606014406859 |
j-invariant |
L |
2.812887135597 |
L(r)(E,1)/r! |
Ω |
0.11720363057676 |
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 |
27807d1 |
Quadratic twists by: -3 |