Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608x |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
45678592 = 216 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 0 0 0 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-940,11088] |
[a1,a2,a3,a4,a6] |
Generators |
[2:96:1] [146:1728:1] |
Generators of the group modulo torsion |
j |
1401610500/697 |
j-invariant |
L |
9.0151298787356 |
L(r)(E,1)/r! |
Ω |
1.9917269157778 |
Real period |
R |
4.5262881207863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44608a1 11152a1 |
Quadratic twists by: -4 8 |