Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12006c |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
46702667664 = 24 · 38 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1143,-10355] |
[a1,a2,a3,a4,a6] |
j |
226646274673/64064016 |
j-invariant |
L |
1.6773170194117 |
L(r)(E,1)/r! |
Ω |
0.83865850970584 |
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 |
96048bj2 4002l2 |
Quadratic twists by: -4 -3 |