Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33120be |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29987444160000 = 29 · 311 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21603,-1193398] |
[a1,a2,a3,a4,a6] |
j |
2987228332808/80341875 |
j-invariant |
L |
1.5777714748248 |
L(r)(E,1)/r! |
Ω |
0.39444286870952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33120h2 66240dc2 11040c2 |
Quadratic twists by: -4 8 -3 |