Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118404l |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-3.7430851963506E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8594733,-9702790211] |
[a1,a2,a3,a4,a6] |
Generators |
[3785:109503:1] |
Generators of the group modulo torsion |
j |
-6019679512833354247936/3209092246528311 |
j-invariant |
L |
6.1940083291615 |
L(r)(E,1)/r! |
Ω |
0.04408568314499 |
Real period |
R |
1.6726108941104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39468g1 |
Quadratic twists by: -3 |