Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76320g |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21288910838745600 = 29 · 322 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146883,-20498618] |
[a1,a2,a3,a4,a6] |
j |
938946452221448/57036905325 |
j-invariant |
L |
0.97918376970254 |
L(r)(E,1)/r! |
Ω |
0.24479593700146 |
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 |
76320h3 25440bj3 |
Quadratic twists by: -4 -3 |