Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400dd |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
3.2957645765625E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4559925,3737679500] |
[a1,a2,a3,a4,a6] |
Generators |
[109595:2542428:125] |
Generators of the group modulo torsion |
j |
14383655824793536/45209390625 |
j-invariant |
L |
6.4501519225279 |
L(r)(E,1)/r! |
Ω |
0.20833816899802 |
Real period |
R |
7.7400026523898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999584 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400bq1 100800ed2 16800e1 10080bb1 |
Quadratic twists by: -4 8 -3 5 |