Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504ce |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8515584 |
Modular degree for the optimal curve |
Δ |
-1.0809548087558E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49720392,-135052122636] |
[a1,a2,a3,a4,a6] |
j |
-1407450852604763/1119214746 |
j-invariant |
L |
1.8192617367805 |
L(r)(E,1)/r! |
Ω |
0.028425964640056 |
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 |
9438b1 75504cb1 |
Quadratic twists by: -4 -11 |