Atkin-Lehner |
3+ 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165c |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
3989252025 = 39 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4605,121400] |
[a1,a2,a3,a4,a6] |
j |
548749795203/202675 |
j-invariant |
L |
2.7323725422247 |
L(r)(E,1)/r! |
Ω |
1.3661862711117 |
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 |
33165g1 |
Quadratic twists by: -3 |