Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176k |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
90953140672659456 = 224 · 312 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-163884,21013040] |
[a1,a2,a3,a4,a6] |
j |
2547216904393/475937856 |
j-invariant |
L |
5.8016340634507 |
L(r)(E,1)/r! |
Ω |
0.32231300346854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58176bu2 1818m2 19392i2 |
Quadratic twists by: -4 8 -3 |