Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17028p |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
5517072 = 24 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1785,-29027] |
[a1,a2,a3,a4,a6] |
Generators |
[68:405:1] |
Generators of the group modulo torsion |
j |
53925088000/473 |
j-invariant |
L |
5.0348829310881 |
L(r)(E,1)/r! |
Ω |
0.7344973413687 |
Real period |
R |
3.427434415015 |
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 |
68112bk1 1892c1 |
Quadratic twists by: -4 -3 |