Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144y |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
54414344192 = 216 · 132 · 173 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6689,-212513] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:16:1] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
2.4445911142806 |
L(r)(E,1)/r! |
Ω |
0.52795477572437 |
Real period |
R |
2.3151520041906 |
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 |
14144g1 3536a1 127296do1 |
Quadratic twists by: -4 8 -3 |