Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18216j |
Isogeny class |
Conductor |
18216 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
78375184056576 = 28 · 314 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22719,1247330] |
[a1,a2,a3,a4,a6] |
j |
6949024664272/419963049 |
j-invariant |
L |
2.4022563187135 |
L(r)(E,1)/r! |
Ω |
0.60056407967838 |
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 |
36432l2 6072d2 |
Quadratic twists by: -4 -3 |