Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704s |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-566288473522176 = -1 · 217 · 311 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 -2 -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-213132,-37889552] |
[a1,a2,a3,a4,a6] |
j |
-11205525764162/5926527 |
j-invariant |
L |
0.44437908270805 |
L(r)(E,1)/r! |
Ω |
0.11109477067701 |
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 |
16704ch1 2088e1 5568n1 |
Quadratic twists by: -4 8 -3 |