Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dr |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-4.0962515856261E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,838458,-86785484] |
[a1,a2,a3,a4,a6] |
j |
1182427286584775/743008370688 |
j-invariant |
L |
2.8138679887113 |
L(r)(E,1)/r! |
Ω |
0.11724449953134 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cn1 54450gj1 54450hj1 |
Quadratic twists by: -3 5 -11 |