Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17622k |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-435137836624128 = -1 · 28 · 315 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17869,-406893] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2826:1] |
Generators of the group modulo torsion |
j |
865604918383127/596896895232 |
j-invariant |
L |
6.7061949108121 |
L(r)(E,1)/r! |
Ω |
0.29944506145296 |
Real period |
R |
0.69985656115353 |
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 |
5874c1 |
Quadratic twists by: -3 |