Atkin-Lehner |
2- 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
17568g |
Isogeny class |
Conductor |
17568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-2287445515776 = -1 · 29 · 39 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -6 -6 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32427,2248722] |
[a1,a2,a3,a4,a6] |
Generators |
[738:1647:8] |
Generators of the group modulo torsion |
j |
-374181897816/226981 |
j-invariant |
L |
4.7232600808487 |
L(r)(E,1)/r! |
Ω |
0.81057639134912 |
Real period |
R |
0.97117313294132 |
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 |
17568f1 35136bh1 17568a1 |
Quadratic twists by: -4 8 -3 |