Atkin-Lehner |
2- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
16432l |
Isogeny class |
Conductor |
16432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-44432128 = -1 · 28 · 133 · 79 |
Discriminant |
Eigenvalues |
2- -2 -4 -3 2 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,319] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-26:1] [10:37:1] |
Generators of the group modulo torsion |
j |
-65536/173563 |
j-invariant |
L |
3.827617386491 |
L(r)(E,1)/r! |
Ω |
1.6265901916772 |
Real period |
R |
0.39219235081213 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4108a1 65728r1 |
Quadratic twists by: -4 8 |