Atkin-Lehner |
3- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52065o |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
20045187703125 = 38 · 56 · 133 · 89 |
Discriminant |
Eigenvalues |
0 3- 5- 5 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1023582,398595150] |
[a1,a2,a3,a4,a6] |
j |
162691215568606756864/27496828125 |
j-invariant |
L |
2.1500659862187 |
L(r)(E,1)/r! |
Ω |
0.53751649672759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17355j2 |
Quadratic twists by: -3 |