Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57112g |
Isogeny class |
Conductor |
57112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34320 |
Modular degree for the optimal curve |
Δ |
-214061258752 = -1 · 211 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 2 2 -1 11- 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,928,-19732] |
[a1,a2,a3,a4,a6] |
j |
24334/59 |
j-invariant |
L |
4.6448552606056 |
L(r)(E,1)/r! |
Ω |
0.51609502922115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224c1 472c1 |
Quadratic twists by: -4 -11 |