Atkin-Lehner |
2+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608w |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
713728 = 210 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ -3 2 -3 -4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2404,-45368] |
[a1,a2,a3,a4,a6] |
Generators |
[61:187:1] |
Generators of the group modulo torsion |
j |
1500469408512/697 |
j-invariant |
L |
3.062769532954 |
L(r)(E,1)/r! |
Ω |
0.68181405714152 |
Real period |
R |
4.4920891566824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44608br1 2788c1 |
Quadratic twists by: -4 8 |