Atkin-Lehner |
3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717q |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-258482889520119 = -1 · 315 · 112 · 533 |
Discriminant |
Eigenvalues |
1 3- -1 -1 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29970,2149087] |
[a1,a2,a3,a4,a6] |
Generators |
[114:395:1] |
Generators of the group modulo torsion |
j |
-33750420916201/2930345991 |
j-invariant |
L |
5.1879443444462 |
L(r)(E,1)/r! |
Ω |
0.54090924347042 |
Real period |
R |
4.7955774531186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19239h1 57717r1 |
Quadratic twists by: -3 -11 |