Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920q |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
38879920851206400 = 28 · 314 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87303,2928998] |
[a1,a2,a3,a4,a6] |
j |
394315384276816/208332909225 |
j-invariant |
L |
1.2770910149842 |
L(r)(E,1)/r! |
Ω |
0.31927269673016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57960r2 38640k2 |
Quadratic twists by: -4 -3 |