Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330y |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
89358750 = 2 · 32 · 54 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-481,3995] |
[a1,a2,a3,a4,a6] |
j |
12308790253969/89358750 |
j-invariant |
L |
3.8397281525467 |
L(r)(E,1)/r! |
Ω |
1.9198640762733 |
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 |
54990u2 91650e2 |
Quadratic twists by: -3 5 |