Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57420i |
Isogeny class |
Conductor |
57420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
14566994640 = 24 · 39 · 5 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4368,-110963] |
[a1,a2,a3,a4,a6] |
j |
790176464896/1248885 |
j-invariant |
L |
1.174627378877 |
L(r)(E,1)/r! |
Ω |
0.58731368847829 |
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 |
19140k1 |
Quadratic twists by: -3 |