Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8664o |
Isogeny class |
Conductor |
8664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-313041033971712 = -1 · 211 · 32 · 198 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8544,-792288] |
[a1,a2,a3,a4,a6] |
j |
715822/3249 |
j-invariant |
L |
4.9422773465031 |
L(r)(E,1)/r! |
Ω |
0.27457096369462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17328h2 69312ba2 25992p2 456a2 |
Quadratic twists by: -4 8 -3 -19 |