Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6768l |
Isogeny class |
Conductor |
6768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13192077312 = 213 · 36 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1395,-19278] |
[a1,a2,a3,a4,a6] |
Generators |
[63:378:1] |
Generators of the group modulo torsion |
j |
100544625/4418 |
j-invariant |
L |
4.141627228171 |
L(r)(E,1)/r! |
Ω |
0.78331103259918 |
Real period |
R |
2.6436671103867 |
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 |
846b2 27072bw2 752a2 |
Quadratic twists by: -4 8 -3 |