Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cu |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-1385496576 = -1 · 216 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 3 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,-304] |
[a1,a2,a3,a4,a6] |
Generators |
[2:16:1] |
Generators of the group modulo torsion |
j |
48668/29 |
j-invariant |
L |
3.9476070151565 |
L(r)(E,1)/r! |
Ω |
0.88746342752879 |
Real period |
R |
1.1120478018314 |
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 |
16704ba1 4176l1 1856m1 |
Quadratic twists by: -4 8 -3 |