Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dh |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
448000 |
Modular degree for the optimal curve |
Δ |
-30268780523437500 = -1 · 22 · 37 · 59 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82242,-12327584] |
[a1,a2,a3,a4,a6] |
j |
-24389/12 |
j-invariant |
L |
0.55094658161344 |
L(r)(E,1)/r! |
Ω |
0.13773664567125 |
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 |
18150ch1 54450gz1 450a1 |
Quadratic twists by: -3 5 -11 |