Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
17088m |
Isogeny class |
Conductor |
17088 |
Conductor |
∏ cp |
64 |
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 |
1.9283946151656 |
L(r)(E,1)/r! |
Ω |
0.48209865379141 |
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 |
17088b3 4272a3 51264bc4 |
Quadratic twists by: -4 8 -3 |