Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256u |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2164260864 = -1 · 224 · 3 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 -5 -1 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-2049] |
[a1,a2,a3,a4,a6] |
Generators |
[83:768:1] |
Generators of the group modulo torsion |
j |
1685159/8256 |
j-invariant |
L |
4.1233837310783 |
L(r)(E,1)/r! |
Ω |
0.73722411585757 |
Real period |
R |
1.3982802659276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256bd1 258a1 24768ba1 |
Quadratic twists by: -4 8 -3 |