Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bg |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
246386230272 = 210 · 38 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3785,-85431] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:72:1] |
Generators of the group modulo torsion |
j |
8224059831625/337978368 |
j-invariant |
L |
9.5817663581321 |
L(r)(E,1)/r! |
Ω |
0.6102277062424 |
Real period |
R |
0.7850976168491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926d1 |
Quadratic twists by: -3 |