Atkin-Lehner |
2+ 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57498d |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3452544 |
Modular degree for the optimal curve |
Δ |
4.9298459535041E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10853460,-13346090928] |
[a1,a2,a3,a4,a6] |
j |
1087959899125/37933056 |
j-invariant |
L |
0.3334239295946 |
L(r)(E,1)/r! |
Ω |
0.083355982297551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57498n1 |
Quadratic twists by: 37 |