Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731l |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4528623220407 = -1 · 38 · 11 · 137 |
Discriminant |
Eigenvalues |
-1 3- 0 0 11- 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3010,-81012] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4281:1] |
Generators of the group modulo torsion |
j |
857375/1287 |
j-invariant |
L |
3.3148410362226 |
L(r)(E,1)/r! |
Ω |
0.40987327769871 |
Real period |
R |
4.0437389024654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5577c1 1287c1 |
Quadratic twists by: -3 13 |