Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094bp |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
3246502512215952 = 24 · 39 · 117 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-400412,-97384625] |
[a1,a2,a3,a4,a6] |
j |
203608800387/93104 |
j-invariant |
L |
3.0367201397542 |
L(r)(E,1)/r! |
Ω |
0.18979500875198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50094d1 4554e1 |
Quadratic twists by: -3 -11 |