Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016v |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4468843349950464 = 214 · 36 · 232 · 294 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-242384,45898944] |
[a1,a2,a3,a4,a6] |
j |
384483228869610577/1091026208484 |
j-invariant |
L |
1.7495761710766 |
L(r)(E,1)/r! |
Ω |
0.43739404276851 |
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 |
4002o2 128064dg2 96048v2 |
Quadratic twists by: -4 8 -3 |