Atkin-Lehner |
2+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8944c |
Isogeny class |
Conductor |
8944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6153472 = 28 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55,102] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
71874000/24037 |
j-invariant |
L |
3.8540018673759 |
L(r)(E,1)/r! |
Ω |
2.1985613020502 |
Real period |
R |
1.7529653886758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4472b2 35776e2 80496s2 116272e2 |
Quadratic twists by: -4 8 -3 13 |