Atkin-Lehner |
2+ 3- 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370x |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-737363611713600 = -1 · 26 · 38 · 52 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19791,742365] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:687:1] |
Generators of the group modulo torsion |
j |
1175945126599151/1011472718400 |
j-invariant |
L |
5.7958470677709 |
L(r)(E,1)/r! |
Ω |
0.32894617498184 |
Real period |
R |
1.1012149381448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790u2 |
Quadratic twists by: -3 |