Atkin-Lehner |
2+ 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
110664j |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
836428612608 = 210 · 312 · 29 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5259,-140042] |
[a1,a2,a3,a4,a6] |
j |
21547939108/1120473 |
j-invariant |
L |
1.1248777646955 |
L(r)(E,1)/r! |
Ω |
0.56243932915066 |
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 |
36888f1 |
Quadratic twists by: -3 |