Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424m |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
228080247026688 = 210 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17379,-499662] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:504:1] |
Generators of the group modulo torsion |
j |
777625649028/305534453 |
j-invariant |
L |
6.9336392359969 |
L(r)(E,1)/r! |
Ω |
0.43002970875678 |
Real period |
R |
1.0077267766075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26712l4 5936e3 |
Quadratic twists by: -4 -3 |