Atkin-Lehner |
3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195m |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10771248375 = 37 · 53 · 312 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-709218000,-7269543600539] |
[a1,a2,a3,a4,a6] |
Generators |
[3307204817519575706177732899911798234:-7604541431216746300404785602987340159:107541971680112419070086932675672] |
Generators of the group modulo torsion |
j |
54117214246053387917395488001/14775375 |
j-invariant |
L |
6.8097536115216 |
L(r)(E,1)/r! |
Ω |
0.029255304130123 |
Real period |
R |
58.192469826989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19065g4 |
Quadratic twists by: -3 |