Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6786t |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-45097124904936 = -1 · 23 · 36 · 13 · 296 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3046,-317311] |
[a1,a2,a3,a4,a6] |
Generators |
[616527:17646229:729] |
Generators of the group modulo torsion |
j |
4288639501223/61861625384 |
j-invariant |
L |
4.952189148816 |
L(r)(E,1)/r! |
Ω |
0.31285663767094 |
Real period |
R |
7.9144703236643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54288ca2 754a2 88218bc2 |
Quadratic twists by: -4 -3 13 |