Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731i |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-32602311027 = -1 · 313 · 112 · 132 |
Discriminant |
Eigenvalues |
0 3- 2 3 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-14664,-683537] |
[a1,a2,a3,a4,a6] |
Generators |
[1351:49450:1] |
Generators of the group modulo torsion |
j |
-2830523957248/264627 |
j-invariant |
L |
5.2736825501591 |
L(r)(E,1)/r! |
Ω |
0.2169222048329 |
Real period |
R |
3.0389250343352 |
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 |
5577b1 16731g1 |
Quadratic twists by: -3 13 |