Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330z |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
19520716800000 = 218 · 3 · 55 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6961,68585] |
[a1,a2,a3,a4,a6] |
j |
37302892848428689/19520716800000 |
j-invariant |
L |
5.4217792648079 |
L(r)(E,1)/r! |
Ω |
0.60241991831199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990x1 91650j1 |
Quadratic twists by: -3 5 |