Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160p |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.9520571070874E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98303905,-375117863903] |
[a1,a2,a3,a4,a6] |
Generators |
[168811879247316753:12770985031119405056:11741970526489] |
Generators of the group modulo torsion |
j |
-400770830496236396186089/1507590144000000 |
j-invariant |
L |
6.8274787633296 |
L(r)(E,1)/r! |
Ω |
0.023973241928072 |
Real period |
R |
23.732983856837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160df3 2130f3 |
Quadratic twists by: -4 8 |