Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960j |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
75116160000 = 210 · 36 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,3782] |
[a1,a2,a3,a4,a6] |
j |
188183524/100625 |
j-invariant |
L |
1.9067146045361 |
L(r)(E,1)/r! |
Ω |
0.95335730286535 |
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 |
115920bb1 6440j1 |
Quadratic twists by: -4 -3 |