Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600gn |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
680400000000 = 210 · 35 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56533,-5192437] |
[a1,a2,a3,a4,a6] |
j |
1248870793216/42525 |
j-invariant |
L |
3.0961664026343 |
L(r)(E,1)/r! |
Ω |
0.30961664026468 |
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 |
33600f1 8400bn1 100800nf1 6720bf1 |
Quadratic twists by: -4 8 -3 5 |