Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27048o |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
16625215488 = 211 · 3 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144272,-21044148] |
[a1,a2,a3,a4,a6] |
Generators |
[943810:26127079:1000] |
Generators of the group modulo torsion |
j |
1378334691074/69 |
j-invariant |
L |
5.7144094394466 |
L(r)(E,1)/r! |
Ω |
0.24496486134602 |
Real period |
R |
11.663732928975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54096t4 81144w4 552e4 |
Quadratic twists by: -4 -3 -7 |