Atkin-Lehner |
2- 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778ca |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
696320 |
Modular degree for the optimal curve |
Δ |
4206743743168512 = 216 · 36 · 75 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87707,9520075] |
[a1,a2,a3,a4,a6] |
Generators |
[763:-20038:1] [-277:3674:1] |
Generators of the group modulo torsion |
j |
102351523274517609/5770567548928 |
j-invariant |
L |
11.385038795138 |
L(r)(E,1)/r! |
Ω |
0.43155758785516 |
Real period |
R |
0.16488295993884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5642g1 |
Quadratic twists by: -3 |