Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gj |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
9757440 |
Modular degree for the optimal curve |
Δ |
-6.4003931025408E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20961445,-10827224053] |
[a1,a2,a3,a4,a6] |
j |
1182427286584775/743008370688 |
j-invariant |
L |
2.3070667030587 |
L(r)(E,1)/r! |
Ω |
0.052433334188005 |
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 |
18150bk1 54450dr1 54450cn1 |
Quadratic twists by: -3 5 -11 |