Atkin-Lehner |
2- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144bf |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2299006042112 = 214 · 134 · 173 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 -2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5649,144367] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:416:1] [-67:476:1] |
Generators of the group modulo torsion |
j |
1217013440848/140320193 |
j-invariant |
L |
4.2600951703035 |
L(r)(E,1)/r! |
Ω |
0.79252216116322 |
Real period |
R |
0.44794700798976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144n1 3536d1 127296cy1 |
Quadratic twists by: -4 8 -3 |