Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840en |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3368632651606E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40156428,80613670448] |
[a1,a2,a3,a4,a6] |
Generators |
[-140787126:-857367368:19683] |
Generators of the group modulo torsion |
j |
299786086083570891272/55964100325078125 |
j-invariant |
L |
8.099687052823 |
L(r)(E,1)/r! |
Ω |
0.081474509415587 |
Real period |
R |
12.426719466564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840fl2 61920y2 41280ch2 |
Quadratic twists by: -4 8 -3 |