Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13536z |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
3789213696 = 212 · 39 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 1 5 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,-1136] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:36:1] |
Generators of the group modulo torsion |
j |
2515456/1269 |
j-invariant |
L |
4.7099186319925 |
L(r)(E,1)/r! |
Ω |
1.1201103193416 |
Real period |
R |
1.051217578899 |
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 |
13536bc1 27072by1 4512f1 |
Quadratic twists by: -4 8 -3 |