Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048ba |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1117454336 = -1 · 216 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 -4 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,1844] |
[a1,a2,a3,a4,a6] |
Generators |
[4:34:1] [10:32:1] |
Generators of the group modulo torsion |
j |
-192100033/272816 |
j-invariant |
L |
6.5955889829431 |
L(r)(E,1)/r! |
Ω |
1.3928060615627 |
Real period |
R |
0.59193354022526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006j1 64192ci1 |
Quadratic twists by: -4 8 |