Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128br |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18867583061065728 = 221 · 316 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-579457,169455743] |
[a1,a2,a3,a4,a6] |
Generators |
[64945:373212:125] |
Generators of the group modulo torsion |
j |
82082047379525857/71974117512 |
j-invariant |
L |
9.620651311926 |
L(r)(E,1)/r! |
Ω |
0.38410085011411 |
Real period |
R |
6.2618003247496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40128m4 10032l3 120384dk4 |
Quadratic twists by: -4 8 -3 |