Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35088g |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
72421632 = 28 · 32 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,-180] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] |
Generators of the group modulo torsion |
j |
549250000/282897 |
j-invariant |
L |
6.2526767094503 |
L(r)(E,1)/r! |
Ω |
1.5645535173271 |
Real period |
R |
1.9982303705829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17544a1 105264q1 |
Quadratic twists by: -4 -3 |