Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344p |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-1354752 = -1 · 210 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,27] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
2.961305551287 |
L(r)(E,1)/r! |
Ω |
1.6898990654296 |
Real period |
R |
0.58411882142681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1344d1 336a1 4032bb1 33600fg1 |
Quadratic twists by: -4 8 -3 5 |