Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094cb |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2613931169256 = 23 · 36 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4016,-58517] |
[a1,a2,a3,a4,a6] |
j |
5545233/2024 |
j-invariant |
L |
7.4166974337462 |
L(r)(E,1)/r! |
Ω |
0.61805811942824 |
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 |
5566c1 4554n1 |
Quadratic twists by: -3 -11 |