Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704ct |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-22167945216 = -1 · 220 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 2 1 -3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,9936] |
[a1,a2,a3,a4,a6] |
Generators |
[10:64:1] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
4.0568366776192 |
L(r)(E,1)/r! |
Ω |
1.1156592337219 |
Real period |
R |
0.90906715845602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16704bb1 4176bg1 1856o1 |
Quadratic twists by: -4 8 -3 |