Atkin-Lehner |
3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717m |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2725569891 = -1 · 36 · 113 · 532 |
Discriminant |
Eigenvalues |
2 3- 1 -2 11+ -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33,-2511] |
[a1,a2,a3,a4,a6] |
j |
4096/2809 |
j-invariant |
L |
2.6831409912865 |
L(r)(E,1)/r! |
Ω |
0.67078524823337 |
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 |
6413f1 57717n1 |
Quadratic twists by: -3 -11 |