Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dg |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
245352997693440000 = 214 · 310 · 54 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552243,-156150542] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:1296:1] |
Generators of the group modulo torsion |
j |
6237734630203441/82168222500 |
j-invariant |
L |
5.0818345931827 |
L(r)(E,1)/r! |
Ω |
0.17527224520591 |
Real period |
R |
1.8121218320843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8190k3 21840ck4 |
Quadratic twists by: -4 -3 |