Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642ba |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
3061027048380048 = 24 · 37 · 117 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71453,6846753] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:3295:1] |
Generators of the group modulo torsion |
j |
22773479163625/1727869968 |
j-invariant |
L |
11.288003419273 |
L(r)(E,1)/r! |
Ω |
0.44022107047698 |
Real period |
R |
0.91577392882082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422e1 |
Quadratic twists by: -11 |