Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dm |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-31173672960000 = -1 · 218 · 38 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7199,-127585] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-864:1] |
Generators of the group modulo torsion |
j |
157376536199/118918125 |
j-invariant |
L |
4.2961565733174 |
L(r)(E,1)/r! |
Ω |
0.36848849032784 |
Real period |
R |
0.72867889467442 |
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 |
27840g3 6960bf4 83520gp3 |
Quadratic twists by: -4 8 -3 |