Atkin-Lehner |
2+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410d |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6134400 |
Modular degree for the optimal curve |
Δ |
3.6678800574759E+19 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -4 7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11922910,15846369716] |
[a1,a2,a3,a4,a6] |
j |
4088324799/800 |
j-invariant |
L |
3.1958275210595 |
L(r)(E,1)/r! |
Ω |
0.19973922009539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50410c1 |
Quadratic twists by: -71 |