Atkin-Lehner |
2- 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bc |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
47738880 |
Modular degree for the optimal curve |
Δ |
-6.4855284996672E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22426269,-1224585146270] |
[a1,a2,a3,a4,a6] |
j |
417741207055683511967/217199037224152203264 |
j-invariant |
L |
0.57479099604944 |
L(r)(E,1)/r! |
Ω |
0.023949616530721 |
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 |
14058d1 37488ba1 |
Quadratic twists by: -4 -3 |