Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096cx |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-49633296384 = -1 · 221 · 3 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 -7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1304,20628] |
[a1,a2,a3,a4,a6] |
j |
-174676879/35328 |
j-invariant |
L |
4.3226812621723 |
L(r)(E,1)/r! |
Ω |
1.0806703154897 |
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 |
6762i1 54096bq1 |
Quadratic twists by: -4 -7 |