Atkin-Lehner |
2- 3+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
17088i |
Isogeny class |
Conductor |
17088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
13438550016 = 224 · 32 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-897,-8415] |
[a1,a2,a3,a4,a6] |
Generators |
[39:120:1] |
Generators of the group modulo torsion |
j |
304821217/51264 |
j-invariant |
L |
4.8899455777854 |
L(r)(E,1)/r! |
Ω |
0.8822721598327 |
Real period |
R |
2.7712228722669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17088e1 4272d1 51264ba1 |
Quadratic twists by: -4 8 -3 |