Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6786t |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-2693913066 = -1 · 2 · 36 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 13- -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3389,-75121] |
[a1,a2,a3,a4,a6] |
Generators |
[566:1221:8] |
Generators of the group modulo torsion |
j |
-5903244155017/3695354 |
j-invariant |
L |
4.952189148816 |
L(r)(E,1)/r! |
Ω |
0.31285663767094 |
Real period |
R |
2.6381567745548 |
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 |
54288ca1 754a1 88218bc1 |
Quadratic twists by: -4 -3 13 |