Atkin-Lehner |
3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585p |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
11397679845703125 = 3 · 59 · 137 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33114085,-73355488319] |
[a1,a2,a3,a4,a6] |
Generators |
[-89709:71:27] |
Generators of the group modulo torsion |
j |
831958932702053269504/2361328125 |
j-invariant |
L |
6.6552362782562 |
L(r)(E,1)/r! |
Ω |
0.062935598105652 |
Real period |
R |
2.9374103048246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045i3 |
Quadratic twists by: 13 |