Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704ca |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-251683766009856 = -1 · 219 · 39 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 0 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3564,-767664] |
[a1,a2,a3,a4,a6] |
Generators |
[858:25056:1] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
3.9485041936395 |
L(r)(E,1)/r! |
Ω |
0.24292293268682 |
Real period |
R |
0.67725597681803 |
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 |
16704l2 4176p2 16704br1 |
Quadratic twists by: -4 8 -3 |