Atkin-Lehner |
2+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57154c |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
330624 |
Modular degree for the optimal curve |
Δ |
-542974915580228 = -1 · 22 · 17 · 418 |
Discriminant |
Eigenvalues |
2+ 1 0 -1 -3 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93331,11023810] |
[a1,a2,a3,a4,a6] |
j |
-11259625/68 |
j-invariant |
L |
1.3931301510873 |
L(r)(E,1)/r! |
Ω |
0.52242380591186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57154f1 |
Quadratic twists by: 41 |