Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bf |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
130430767104 = 212 · 36 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1529,15609] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:120:1] [-16:189:1] |
Generators of the group modulo torsion |
j |
96576225472/31843449 |
j-invariant |
L |
6.7678122265566 |
L(r)(E,1)/r! |
Ω |
0.95949829628972 |
Real period |
R |
3.5267453067548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128ce2 20064l1 120384dh2 |
Quadratic twists by: -4 8 -3 |