Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366i |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37900800 |
Modular degree for the optimal curve |
Δ |
7.8001493559618E+27 |
Discriminant |
Eigenvalues |
2- -1 0 -1 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1814602788,-29448050831531] |
[a1,a2,a3,a4,a6] |
Generators |
[-24091191171114442724566293479:26771037006873860511456619257:1069155010297985329075141] |
Generators of the group modulo torsion |
j |
14045811244682967594015625/165798773243544993232 |
j-invariant |
L |
7.9617596587021 |
L(r)(E,1)/r! |
Ω |
0.023148032005377 |
Real period |
R |
42.993717872284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3914c1 |
Quadratic twists by: -19 |