Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704bt |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-801792 = -1 · 210 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 3 -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12,-40] |
[a1,a2,a3,a4,a6] |
j |
6912/29 |
j-invariant |
L |
2.8628092170666 |
L(r)(E,1)/r! |
Ω |
1.4314046085333 |
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 |
16704g1 4176w1 16704cc1 |
Quadratic twists by: -4 8 -3 |