Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235t |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
-3.0578399879412E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 11- 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1072302,-724687241] |
[a1,a2,a3,a4,a6] |
j |
105582373535744/236772421875 |
j-invariant |
L |
3.2183536443941 |
L(r)(E,1)/r! |
Ω |
0.08939871400107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745l1 11385e1 |
Quadratic twists by: -3 -11 |