Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240em |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.51640211456E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1007148,-340948528] |
[a1,a2,a3,a4,a6] |
Generators |
[-566:6912:1] |
Generators of the group modulo torsion |
j |
591202341974089/79350000000 |
j-invariant |
L |
5.440768909339 |
L(r)(E,1)/r! |
Ω |
0.15204272411771 |
Real period |
R |
2.2365296255919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bz2 16560bv2 22080cj2 |
Quadratic twists by: -4 8 -3 |