Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320cn |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10396001894400 = 225 · 36 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-742561,246042335] |
[a1,a2,a3,a4,a6] |
j |
172735174415217961/39657600 |
j-invariant |
L |
3.4469737380132 |
L(r)(E,1)/r! |
Ω |
0.5744956230022 |
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 |
16320h2 4080w2 48960ff2 81600fp2 |
Quadratic twists by: -4 8 -3 5 |