Atkin-Lehner |
2- 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17892a |
Isogeny class |
Conductor |
17892 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-9151921633862448 = -1 · 24 · 39 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23760,4381533] |
[a1,a2,a3,a4,a6] |
j |
4710334464000/29060361841 |
j-invariant |
L |
0.59482188153039 |
L(r)(E,1)/r! |
Ω |
0.29741094076519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71568bb1 17892b1 125244a1 |
Quadratic twists by: -4 -3 -7 |