Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408k |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-312264916992 = -1 · 215 · 34 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1503,14337] |
[a1,a2,a3,a4,a6] |
j |
97336/81 |
j-invariant |
L |
2.5046014919218 |
L(r)(E,1)/r! |
Ω |
0.62615037298044 |
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 |
9408bg4 4704bf4 28224cl3 192b4 |
Quadratic twists by: -4 8 -3 -7 |