Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33072h |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
-3437446705145856 = -1 · 211 · 38 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -1 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-389032,93308564] |
[a1,a2,a3,a4,a6] |
Generators |
[380:-702:1] |
Generators of the group modulo torsion |
j |
-3179441611281643346/1678440773997 |
j-invariant |
L |
5.0596211129455 |
L(r)(E,1)/r! |
Ω |
0.43976422926475 |
Real period |
R |
0.11984691588331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16536c1 99216s1 |
Quadratic twists by: -4 -3 |