Atkin-Lehner |
2- 3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782bf |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
641101824 = 212 · 33 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-980,11664] |
[a1,a2,a3,a4,a6] |
Generators |
[16:4:1] |
Generators of the group modulo torsion |
j |
104094944089921/641101824 |
j-invariant |
L |
11.530637205895 |
L(r)(E,1)/r! |
Ω |
1.6292987632534 |
Real period |
R |
0.1965848653208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346p1 |
Quadratic twists by: -3 |