Atkin-Lehner |
2- 7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
60088g |
Isogeny class |
Conductor |
60088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
659525888 = 28 · 74 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-292,1572] |
[a1,a2,a3,a4,a6] |
j |
10792418128/2576273 |
j-invariant |
L |
3.0386033242577 |
L(r)(E,1)/r! |
Ω |
1.5193016634285 |
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 |
120176j1 |
Quadratic twists by: -4 |