Atkin-Lehner |
2+ 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450q |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.5225936238584E+22 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -2 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21180075,-36423887875] |
[a1,a2,a3,a4,a6] |
Generators |
[-58660613183546433:95905799922894877:19428228207387] |
Generators of the group modulo torsion |
j |
537992456301668506949/18035679354155008 |
j-invariant |
L |
7.1291653413738 |
L(r)(E,1)/r! |
Ω |
0.070519689120833 |
Real period |
R |
25.273669744976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450bp2 |
Quadratic twists by: 5 |