Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gd |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-13832582544000000 = -1 · 210 · 310 · 56 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40270,-4737103] |
[a1,a2,a3,a4,a6] |
j |
43307231/82944 |
j-invariant |
L |
4.1461618079708 |
L(r)(E,1)/r! |
Ω |
0.20730809052969 |
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 |
18150bh1 2178e1 54450cp1 |
Quadratic twists by: -3 5 -11 |