Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960k |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
39426970060800 = 211 · 314 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1545843,-739769042] |
[a1,a2,a3,a4,a6] |
j |
273629163383866082/26408025 |
j-invariant |
L |
1.0831739262793 |
L(r)(E,1)/r! |
Ω |
0.135396741082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920bc4 19320ba4 |
Quadratic twists by: -4 -3 |