Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gx |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
53760000000 = 215 · 3 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112033,14396063] |
[a1,a2,a3,a4,a6] |
j |
303735479048/105 |
j-invariant |
L |
3.6191755967347 |
L(r)(E,1)/r! |
Ω |
0.90479389918494 |
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 |
33600en4 16800j3 100800nt4 6720bj3 |
Quadratic twists by: -4 8 -3 5 |