Atkin-Lehner |
2+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608f |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
1.5421950923582E+22 |
Discriminant |
Eigenvalues |
2+ -2 2 0 -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7362017,4836404095] |
[a1,a2,a3,a4,a6] |
Generators |
[-475928934070:-11239207181585:172808693] |
Generators of the group modulo torsion |
j |
168334951057702152697/58830074018791424 |
j-invariant |
L |
4.7977072899832 |
L(r)(E,1)/r! |
Ω |
0.11416012025435 |
Real period |
R |
21.013061650994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608bb1 1394c1 |
Quadratic twists by: -4 8 |