Atkin-Lehner |
3- 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52767d |
Isogeny class |
Conductor |
52767 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6089387204043 = 311 · 112 · 132 · 412 |
Discriminant |
Eigenvalues |
1 3- 0 4 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19607157,33422101902] |
[a1,a2,a3,a4,a6] |
Generators |
[20718:12807:8] |
Generators of the group modulo torsion |
j |
1143510285708887901612625/8353068867 |
j-invariant |
L |
7.8734958456827 |
L(r)(E,1)/r! |
Ω |
0.37168099821308 |
Real period |
R |
2.6479346144817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17589c2 |
Quadratic twists by: -3 |