Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24480r |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
856604160000 = 212 · 39 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22332,-1283744] |
[a1,a2,a3,a4,a6] |
j |
412495384384/286875 |
j-invariant |
L |
1.5622328700994 |
L(r)(E,1)/r! |
Ω |
0.39055821752484 |
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 |
24480bi4 48960bv1 8160m3 122400ct4 |
Quadratic twists by: -4 8 -3 5 |