Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6448g |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1637482496 = -1 · 217 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -1 1 3 0 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-1936] |
[a1,a2,a3,a4,a6] |
Generators |
[100:992:1] |
Generators of the group modulo torsion |
j |
-1771561/399776 |
j-invariant |
L |
3.8036715536897 |
L(r)(E,1)/r! |
Ω |
0.66905465047386 |
Real period |
R |
0.71064291067175 |
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 |
806a1 25792bg1 58032bc1 83824q1 |
Quadratic twists by: -4 8 -3 13 |