Atkin-Lehner |
2- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69184b |
Isogeny class |
Conductor |
69184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38291406848 = 215 · 232 · 472 |
Discriminant |
Eigenvalues |
2- 0 2 4 0 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1484,-19888] |
[a1,a2,a3,a4,a6] |
j |
11029999176/1168561 |
j-invariant |
L |
3.0979049790898 |
L(r)(E,1)/r! |
Ω |
0.77447624748964 |
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 |
69184f2 34592a2 |
Quadratic twists by: -4 8 |