Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536bc |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
8 |
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 |
[-4:52:1] [1:27:1] |
Generators of the group modulo torsion |
j |
2515456/1269 |
j-invariant |
L |
6.0151999635096 |
L(r)(E,1)/r! |
Ω |
1.2358265217716 |
Real period |
R |
0.60841872398157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13536z1 27072ck1 4512a1 |
Quadratic twists by: -4 8 -3 |