Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cm |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
36531648 = 26 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9399,350728] |
[a1,a2,a3,a4,a6] |
Generators |
[4498:105165:8] |
Generators of the group modulo torsion |
j |
1968163432768/783 |
j-invariant |
L |
5.4873182918504 |
L(r)(E,1)/r! |
Ω |
1.6703468138621 |
Real period |
R |
6.5702742045082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16704ck1 8352i3 5568bf1 |
Quadratic twists by: -4 8 -3 |