Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704db |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1551401477996544 = -1 · 225 · 313 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,1895056] |
[a1,a2,a3,a4,a6] |
j |
-117649/8118144 |
j-invariant |
L |
1.5185235733221 |
L(r)(E,1)/r! |
Ω |
0.37963089333053 |
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 |
16704bh1 4176y1 5568bc1 |
Quadratic twists by: -4 8 -3 |