Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016v |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2544869559900413952 = 213 · 33 · 23 · 298 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341744,4803648] |
[a1,a2,a3,a4,a6] |
j |
1077625178826324337/621306044897562 |
j-invariant |
L |
1.7495761710766 |
L(r)(E,1)/r! |
Ω |
0.21869702138425 |
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 |
4002o4 128064dg3 96048v3 |
Quadratic twists by: -4 8 -3 |