Atkin-Lehner |
3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717x |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2196480 |
Modular degree for the optimal curve |
Δ |
-1.5977416658489E+21 |
Discriminant |
Eigenvalues |
-1 3- 1 1 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2171443,-1477576812] |
[a1,a2,a3,a4,a6] |
j |
59884554191/84499119 |
j-invariant |
L |
0.15957201173655 |
L(r)(E,1)/r! |
Ω |
0.079786006519813 |
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 |
19239a1 57717t1 |
Quadratic twists by: -3 -11 |