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 |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
36015000000 = 26 · 3 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-908,-5562] |
[a1,a2,a3,a4,a6] |
j |
82881856/36015 |
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 |
33600en1 16800j2 100800nt1 6720bj1 |
Quadratic twists by: -4 8 -3 5 |