Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094bf |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
1.6203047868888E+22 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156044466,750289353556] |
[a1,a2,a3,a4,a6] |
j |
325375754708447065657/12546225115776 |
j-invariant |
L |
0.92845024356304 |
L(r)(E,1)/r! |
Ω |
0.11605628038755 |
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 |
16698bc1 4554bd1 |
Quadratic twists by: -3 -11 |