Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17028n |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
826286356368 = 24 · 310 · 11 · 433 |
Discriminant |
Eigenvalues |
2- 3- 4 5 11- 6 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7833,263225] |
[a1,a2,a3,a4,a6] |
j |
4556806433536/70840737 |
j-invariant |
L |
5.3648032222142 |
L(r)(E,1)/r! |
Ω |
0.89413387036903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112bw1 5676b1 |
Quadratic twists by: -4 -3 |