Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dp |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33944666112 = 215 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11052,447120] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-72:1] |
Generators of the group modulo torsion |
j |
6249839688/1421 |
j-invariant |
L |
5.4604706542828 |
L(r)(E,1)/r! |
Ω |
1.1335964976951 |
Real period |
R |
0.60211798377342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999147409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928ek2 58464ba2 12992z2 |
Quadratic twists by: -4 8 -3 |