Atkin-Lehner |
2- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48416j |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
13169152 = 29 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 0 0 2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-955,-11358] |
[a1,a2,a3,a4,a6] |
j |
188132517000/25721 |
j-invariant |
L |
1.7176404943283 |
L(r)(E,1)/r! |
Ω |
0.85882024718491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416k2 96832l2 |
Quadratic twists by: -4 8 |