Atkin-Lehner |
3+ 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17043a |
Isogeny class |
Conductor |
17043 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
-5895514168011 = -1 · 38 · 132 · 19 · 234 |
Discriminant |
Eigenvalues |
0 3+ -3 -3 1 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-23707,1417737] |
[a1,a2,a3,a4,a6] |
Generators |
[55:526:1] [81:149:1] |
Generators of the group modulo torsion |
j |
-1473573593529745408/5895514168011 |
j-invariant |
L |
4.0673330584738 |
L(r)(E,1)/r! |
Ω |
0.76108868474525 |
Real period |
R |
0.33400616938583 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51129c1 |
Quadratic twists by: -3 |