Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fr |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5156831600217000000 = 26 · 37 · 56 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2192180,-1243952553] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
5.9571346346014 |
L(r)(E,1)/r! |
Ω |
0.12410697158901 |
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 |
18150i3 2178c3 4950o3 |
Quadratic twists by: -3 5 -11 |