Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731j |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-68022105723 = -1 · 39 · 112 · 134 |
Discriminant |
Eigenvalues |
0 3- -2 1 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1014,1732] |
[a1,a2,a3,a4,a6] |
Generators |
[16:148:1] |
Generators of the group modulo torsion |
j |
5537792/3267 |
j-invariant |
L |
3.2674767589948 |
L(r)(E,1)/r! |
Ω |
0.66824576951908 |
Real period |
R |
0.61120416096055 |
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 |
5577a1 16731f1 |
Quadratic twists by: -3 13 |