Atkin-Lehner |
3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
16641l |
Isogeny class |
Conductor |
16641 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-198155767497003 = -1 · 36 · 437 |
Discriminant |
Eigenvalues |
-2 3- -4 0 -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5547,695686] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:924:1] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
1.2329373481247 |
L(r)(E,1)/r! |
Ω |
0.48149126530734 |
Real period |
R |
0.32008299967231 |
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 |
1849d1 387e1 |
Quadratic twists by: -3 -43 |