Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6768r |
Isogeny class |
Conductor |
6768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-102308769792 = -1 · 212 · 312 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,-21566] |
[a1,a2,a3,a4,a6] |
j |
-57066625/34263 |
j-invariant |
L |
1.5941306104308 |
L(r)(E,1)/r! |
Ω |
0.39853265260771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
423b1 27072cj1 2256l1 |
Quadratic twists by: -4 8 -3 |