Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150i |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7073843073000000 = 26 · 3 · 56 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-243575,45991125] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
0.84330007082625 |
L(r)(E,1)/r! |
Ω |
0.42165003541313 |
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 |
54450fr3 726h3 1650m3 |
Quadratic twists by: -3 5 -11 |