Atkin-Lehner |
3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717y |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-14025231 = -1 · 37 · 112 · 53 |
Discriminant |
Eigenvalues |
-1 3- -3 5 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-419,-3198] |
[a1,a2,a3,a4,a6] |
j |
-92019697/159 |
j-invariant |
L |
1.0553149254513 |
L(r)(E,1)/r! |
Ω |
0.52765746246513 |
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 |
19239b1 57717u1 |
Quadratic twists by: -3 -11 |