Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44044a |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-7.1088025110108E+19 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 11- 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8901728,-10230603724] |
[a1,a2,a3,a4,a6] |
Generators |
[19732031817910488063806350053689130487539833948201131366577:-1384568057115011070410979786410113729364465618359775388724333:3022922109037182671917982676230999807197565742318635309] |
Generators of the group modulo torsion |
j |
-11748430577664/10706059 |
j-invariant |
L |
4.048702669239 |
L(r)(E,1)/r! |
Ω |
0.043699578395129 |
Real period |
R |
92.648552181235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44044o1 |
Quadratic twists by: -11 |