Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080br |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18707684160000 = 29 · 3 · 54 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43600,3512500] |
[a1,a2,a3,a4,a6] |
j |
10105715528/20625 |
j-invariant |
L |
1.3779112534418 |
L(r)(E,1)/r! |
Ω |
0.68895562768443 |
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 |
58080cf4 116160ic4 5280c2 |
Quadratic twists by: -4 8 -11 |