Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704br |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-345245220864 = -1 · 219 · 33 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,28432] |
[a1,a2,a3,a4,a6] |
j |
-970299/48778 |
j-invariant |
L |
3.1813717303879 |
L(r)(E,1)/r! |
Ω |
0.79534293259698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16704e1 4176u1 16704ca2 |
Quadratic twists by: -4 8 -3 |