Atkin-Lehner |
2+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144g |
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] |
j |
505117359652/830297 |
j-invariant |
L |
2.2380141388353 |
L(r)(E,1)/r! |
Ω |
1.1190070694177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144y1 1768b1 127296bn1 |
Quadratic twists by: -4 8 -3 |