Atkin-Lehner |
2+ 3+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17088b |
Isogeny class |
Conductor |
17088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
502157563527168 = 217 · 316 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23937,-924543] |
[a1,a2,a3,a4,a6] |
j |
11572870364354/3831158169 |
j-invariant |
L |
3.1520669193996 |
L(r)(E,1)/r! |
Ω |
0.39400836492495 |
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 |
17088m3 2136a3 51264n4 |
Quadratic twists by: -4 8 -3 |