Atkin-Lehner |
2- 7+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48776c |
Isogeny class |
Conductor |
48776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5437938688 = -1 · 210 · 7 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,216,3260] |
[a1,a2,a3,a4,a6] |
j |
1083360092/5310487 |
j-invariant |
L |
1.948961752938 |
L(r)(E,1)/r! |
Ω |
0.97448087614301 |
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 |
97552d1 |
Quadratic twists by: -4 |