Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bn |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5657203689984 = 29 · 34 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99744,12091176] |
[a1,a2,a3,a4,a6] |
j |
120993582536/6237 |
j-invariant |
L |
1.4349584305881 |
L(r)(E,1)/r! |
Ω |
0.71747919867704 |
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 |
81312bg4 7392h2 |
Quadratic twists by: -4 -11 |