Atkin-Lehner |
3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717k |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
73590387057 = 39 · 113 · 532 |
Discriminant |
Eigenvalues |
1 3- -2 2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156393,-23766264] |
[a1,a2,a3,a4,a6] |
j |
435985074634283/75843 |
j-invariant |
L |
0.4801479692779 |
L(r)(E,1)/r! |
Ω |
0.24007398500052 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19239j1 57717l1 |
Quadratic twists by: -3 -11 |