Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704f |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-6568280064 = -1 · 223 · 33 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 -4 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,3888] |
[a1,a2,a3,a4,a6] |
Generators |
[22:128:1] |
Generators of the group modulo torsion |
j |
9261/928 |
j-invariant |
L |
5.1778334355582 |
L(r)(E,1)/r! |
Ω |
1.0234835382206 |
Real period |
R |
0.63237869030118 |
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 |
16704bs1 522i1 16704m1 |
Quadratic twists by: -4 8 -3 |