Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408k |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4337012736 = 212 · 32 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,2185] |
[a1,a2,a3,a4,a6] |
j |
21952/9 |
j-invariant |
L |
2.5046014919218 |
L(r)(E,1)/r! |
Ω |
1.2523007459609 |
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 |
9408bg2 4704bf1 28224cl2 192b2 |
Quadratic twists by: -4 8 -3 -7 |