Atkin-Lehner |
2- 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bu |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
18760523400000000 = 29 · 38 · 58 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-407597,100044821] |
[a1,a2,a3,a4,a6] |
Generators |
[-729:3424:1] [-189:-12956:1] |
Generators of the group modulo torsion |
j |
10272783169676679049/25734600000000 |
j-invariant |
L |
12.455253796584 |
L(r)(E,1)/r! |
Ω |
0.38784575022804 |
Real period |
R |
0.22301344795191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790g2 |
Quadratic twists by: -3 |