Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704by |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2169687638016 = 217 · 39 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3564,41040] |
[a1,a2,a3,a4,a6] |
Generators |
[10:80:1] |
Generators of the group modulo torsion |
j |
1940598/841 |
j-invariant |
L |
6.350260189839 |
L(r)(E,1)/r! |
Ω |
0.74202231559915 |
Real period |
R |
2.1395111900076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16704k2 4176b2 16704bp2 |
Quadratic twists by: -4 8 -3 |