Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bk |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1277952 |
Modular degree for the optimal curve |
Δ |
1.4270451719835E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-610397,25469763] |
[a1,a2,a3,a4,a6] |
Generators |
[-713:9936:1] |
Generators of the group modulo torsion |
j |
24561881874548119552/13935988007650917 |
j-invariant |
L |
7.58747548391 |
L(r)(E,1)/r! |
Ω |
0.19135898570837 |
Real period |
R |
2.478154950509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408ca1 7176c1 |
Quadratic twists by: -4 8 |