Atkin-Lehner |
3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16965j |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-12058297875 = -1 · 39 · 53 · 132 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ 0 3 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,5283] |
[a1,a2,a3,a4,a6] |
Generators |
[34:581:8] |
Generators of the group modulo torsion |
j |
-4096/16540875 |
j-invariant |
L |
9.4225167134235 |
L(r)(E,1)/r! |
Ω |
1.0089791451362 |
Real period |
R |
2.334665874623 |
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 |
5655i1 84825o1 |
Quadratic twists by: -3 5 |