Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304bh |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4221714033672192 = 217 · 36 · 174 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13001571,-18044375454] |
[a1,a2,a3,a4,a6] |
j |
81399873824350973793/1413843488 |
j-invariant |
L |
1.2720980291612 |
L(r)(E,1)/r! |
Ω |
0.079506126826996 |
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 |
7038b3 6256i3 |
Quadratic twists by: -4 -3 |