Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9648q |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1930187833344 = 216 · 38 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12891,559370] |
[a1,a2,a3,a4,a6] |
j |
79340706073/646416 |
j-invariant |
L |
1.6711379879212 |
L(r)(E,1)/r! |
Ω |
0.83556899396061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1206e2 38592bv2 3216f2 |
Quadratic twists by: -4 8 -3 |