Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704bp |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-51314688 = -1 · 216 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,-176] |
[a1,a2,a3,a4,a6] |
j |
37044/29 |
j-invariant |
L |
2.2265787587961 |
L(r)(E,1)/r! |
Ω |
1.1132893793981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16704d1 4176d1 16704by1 |
Quadratic twists by: -4 8 -3 |