Atkin-Lehner |
2+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
57112a |
Isogeny class |
Conductor |
57112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-202354783664 = -1 · 24 · 118 · 59 |
Discriminant |
Eigenvalues |
2+ -1 3 1 11- 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,81,-21668] |
[a1,a2,a3,a4,a6] |
j |
2048/7139 |
j-invariant |
L |
1.8598282520704 |
L(r)(E,1)/r! |
Ω |
0.46495706290416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224d1 5192b1 |
Quadratic twists by: -4 -11 |