Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440n |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
204650726720 = 26 · 5 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2850,53428] |
[a1,a2,a3,a4,a6] |
Generators |
[38:38:1] |
Generators of the group modulo torsion |
j |
40015725321664/3197667605 |
j-invariant |
L |
3.5493592400987 |
L(r)(E,1)/r! |
Ω |
0.97953207135301 |
Real period |
R |
1.8117626486675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440p1 66880cl2 |
Quadratic twists by: -4 8 |