Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33660j |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-91097844750000 = -1 · 24 · 311 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8268,356569] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:405:1] |
Generators of the group modulo torsion |
j |
5358924087296/7810171875 |
j-invariant |
L |
6.7282021829601 |
L(r)(E,1)/r! |
Ω |
0.40874217512379 |
Real period |
R |
0.45724301639691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220j1 |
Quadratic twists by: -3 |