Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248y |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
32467359232 = 29 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 11- -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:98:1] |
Generators of the group modulo torsion |
j |
19208/11 |
j-invariant |
L |
1.7807779858733 |
L(r)(E,1)/r! |
Ω |
0.99998639048856 |
Real period |
R |
0.29680037028693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17248a1 34496a1 17248bc1 |
Quadratic twists by: -4 8 -7 |