Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048bf |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
66788035633152 = 213 · 312 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32472507,-71223259030] |
[a1,a2,a3,a4,a6] |
j |
1268188156752269618809/22367178 |
j-invariant |
L |
0.50595346860828 |
L(r)(E,1)/r! |
Ω |
0.063244184930152 |
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 |
12006u2 32016t2 |
Quadratic twists by: -4 -3 |