Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
46530k |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-9.413155669062E+18 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36450,147646800] |
[a1,a2,a3,a4,a6] |
j |
-7346753758663201/12912422042609100 |
j-invariant |
L |
1.4834194437637 |
L(r)(E,1)/r! |
Ω |
0.18542743050013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
15510q4 |
Quadratic twists by: -3 |