Atkin-Lehner |
3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
16641k |
Isogeny class |
Conductor |
16641 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7056 |
Modular degree for the optimal curve |
Δ |
-36393867 = -1 · 39 · 432 |
Discriminant |
Eigenvalues |
-2 3- 2 -3 6 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-129,634] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
-176128/27 |
j-invariant |
L |
2.6735793976924 |
L(r)(E,1)/r! |
Ω |
1.9869812959636 |
Real period |
R |
0.33638708667309 |
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 |
5547b1 16641g1 |
Quadratic twists by: -3 -43 |