Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330x |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
52921906165440000 = 29 · 36 · 54 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97446,3810276] |
[a1,a2,a3,a4,a6] |
j |
102333078881871128929/52921906165440000 |
j-invariant |
L |
5.6235452429778 |
L(r)(E,1)/r! |
Ω |
0.31241918016543 |
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 |
54990t2 91650f2 |
Quadratic twists by: -3 5 |