Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330r |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1268400199218750000 = -1 · 24 · 312 · 512 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-185166,62185659] |
[a1,a2,a3,a4,a6] |
j |
-702113936419032074209/1268400199218750000 |
j-invariant |
L |
3.8911831859925 |
L(r)(E,1)/r! |
Ω |
0.24319894912453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990m3 91650bm3 |
Quadratic twists by: -3 5 |