Atkin-Lehner |
2- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16120f |
Isogeny class |
Conductor |
16120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1294727800371200 = 211 · 52 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42587,2906134] |
[a1,a2,a3,a4,a6] |
Generators |
[1567398:6845770:9261] |
Generators of the group modulo torsion |
j |
4170853185624162/632191308775 |
j-invariant |
L |
4.8699508874915 |
L(r)(E,1)/r! |
Ω |
0.46318901298784 |
Real period |
R |
10.513960286056 |
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 |
32240e3 128960e3 80600e3 |
Quadratic twists by: -4 8 5 |