Atkin-Lehner |
2- 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382bi |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
2471040 |
Modular degree for the optimal curve |
Δ |
3.8242840758825E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1065065,-301214761] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:-8888:1] |
Generators of the group modulo torsion |
j |
1135700552684700289/325058782980096 |
j-invariant |
L |
10.156645695579 |
L(r)(E,1)/r! |
Ω |
0.15185204186497 |
Real period |
R |
0.20268225470483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518t1 |
Quadratic twists by: -7 |