Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064db |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3016163328 = 216 · 3 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7393,242207] |
[a1,a2,a3,a4,a6] |
j |
681969014500/46023 |
j-invariant |
L |
5.4119381377732 |
L(r)(E,1)/r! |
Ω |
1.3529842101157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128064s2 32016a2 |
Quadratic twists by: -4 8 |