Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704cz |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-5260557312 = -1 · 210 · 311 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 5 5 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,1096] |
[a1,a2,a3,a4,a6] |
j |
10976000/7047 |
j-invariant |
L |
3.3906017596888 |
L(r)(E,1)/r! |
Ω |
0.84765043992219 |
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 |
16704bg1 4176e1 5568ba1 |
Quadratic twists by: -4 8 -3 |