Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bl |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
215602318407168 = 29 · 32 · 74 · 117 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129752,-18018948] |
[a1,a2,a3,a4,a6] |
j |
266344154504/237699 |
j-invariant |
L |
2.0124913128955 |
L(r)(E,1)/r! |
Ω |
0.25156141498337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312k4 7392g3 |
Quadratic twists by: -4 -11 |