Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608n |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
1199776768 = 210 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 0 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6953,-220847] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:1:1] [7904:702617:1] |
Generators of the group modulo torsion |
j |
36308048224000/1171657 |
j-invariant |
L |
7.8216918917579 |
L(r)(E,1)/r! |
Ω |
0.52281992833226 |
Real period |
R |
14.960584835982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608bi2 2788b2 |
Quadratic twists by: -4 8 |