Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600fg |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-3598946795520000000 = -1 · 223 · 311 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 2 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,350925,43915250] |
[a1,a2,a3,a4,a6] |
j |
102437538839/77137920 |
j-invariant |
L |
5.1072323274137 |
L(r)(E,1)/r! |
Ω |
0.15960100533331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950q1 37200by1 22320bs1 |
Quadratic twists by: -4 -3 5 |