Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560bx |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4074381000000000000 = 212 · 311 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4339227,3477742346] |
[a1,a2,a3,a4,a6] |
j |
3026030815665395929/1364501953125 |
j-invariant |
L |
2.9191638749755 |
L(r)(E,1)/r! |
Ω |
0.24326365624796 |
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 |
1035g3 66240er4 5520q3 82800eq4 |
Quadratic twists by: -4 8 -3 5 |