Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cv |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-1.1872488281299E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 -6 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4437804,16963904464] |
[a1,a2,a3,a4,a6] |
Generators |
[650:119808:1] |
Generators of the group modulo torsion |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
2.2825820837039 |
L(r)(E,1)/r! |
Ω |
0.089058194409294 |
Real period |
R |
3.2037788589302 |
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 |
16704bc1 4176bh1 5568bi1 |
Quadratic twists by: -4 8 -3 |