Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704bj |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-39817158294528 = -1 · 210 · 313 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -5 -1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,301624] |
[a1,a2,a3,a4,a6] |
Generators |
[365:7047:1] |
Generators of the group modulo torsion |
j |
1192310528/53338743 |
j-invariant |
L |
4.4336143864126 |
L(r)(E,1)/r! |
Ω |
0.48980582837725 |
Real period |
R |
0.75431496345899 |
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 |
16704de1 2088c1 5568j1 |
Quadratic twists by: -4 8 -3 |