Atkin-Lehner |
2- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27608f |
Isogeny class |
Conductor |
27608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
829289093476272128 = 211 · 78 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267179,30098182] |
[a1,a2,a3,a4,a6] |
Generators |
[10926:1140802:1] |
Generators of the group modulo torsion |
j |
1029913426633122306/404926315173961 |
j-invariant |
L |
5.6509296784399 |
L(r)(E,1)/r! |
Ω |
0.25657627265711 |
Real period |
R |
5.5060914439972 |
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 |
55216f4 |
Quadratic twists by: -4 |