Atkin-Lehner |
2+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57434d |
Isogeny class |
Conductor |
57434 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8401344 |
Modular degree for the optimal curve |
Δ |
-8.9886435221385E+24 |
Discriminant |
Eigenvalues |
2+ 0 0 2 0 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58951997,-226169608123] |
[a1,a2,a3,a4,a6] |
Generators |
[18560656939:970929797237:1771561] |
Generators of the group modulo torsion |
j |
-20245968606375/8031810176 |
j-invariant |
L |
4.206641375996 |
L(r)(E,1)/r! |
Ω |
0.026718971894526 |
Real period |
R |
11.24573150441 |
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 |
57434a1 |
Quadratic twists by: -47 |