Atkin-Lehner |
2+ 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50840a |
Isogeny class |
Conductor |
50840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
129235280 = 24 · 5 · 312 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2791,55830] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:261:1] [5:205:1] |
Generators of the group modulo torsion |
j |
150327638431744/8077205 |
j-invariant |
L |
6.3270365688682 |
L(r)(E,1)/r! |
Ω |
1.7498625845885 |
Real period |
R |
1.8078666932456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680e1 |
Quadratic twists by: -4 |