Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9648o |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-27345828096 = -1 · 28 · 313 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,753,218] |
[a1,a2,a3,a4,a6] |
j |
253012016/146529 |
j-invariant |
L |
2.8415998231501 |
L(r)(E,1)/r! |
Ω |
0.71039995578753 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2412a1 38592bu1 3216e1 |
Quadratic twists by: -4 8 -3 |