Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330q |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
25184212096478760 = 23 · 310 · 5 · 136 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-460131,119700633] |
[a1,a2,a3,a4,a6] |
j |
10773783692730290555569/25184212096478760 |
j-invariant |
L |
2.2697234021985 |
L(r)(E,1)/r! |
Ω |
0.37828723369974 |
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 |
54990l2 91650bi2 |
Quadratic twists by: -3 5 |