Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9648r |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
21606580224 = 214 · 39 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5331,149650] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:540:1] [-7:432:1] |
Generators of the group modulo torsion |
j |
5611284433/7236 |
j-invariant |
L |
5.1959934811271 |
L(r)(E,1)/r! |
Ω |
1.2059219718168 |
Real period |
R |
1.0771827702294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1206b1 38592bw1 3216k1 |
Quadratic twists by: -4 8 -3 |