Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57096n |
Isogeny class |
Conductor |
57096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
107886774528 = 28 · 312 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2703,51730] |
[a1,a2,a3,a4,a6] |
j |
11702923216/578097 |
j-invariant |
L |
4.1763885644664 |
L(r)(E,1)/r! |
Ω |
1.0440971425468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192k1 19032h1 |
Quadratic twists by: -4 -3 |