Atkin-Lehner |
2- 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
85140m |
Isogeny class |
Conductor |
85140 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
1.5605283480631E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103164528,-355723414652] |
[a1,a2,a3,a4,a6] |
Generators |
[-11810971092996:240187886032522:1672446203] |
Generators of the group modulo torsion |
j |
650649956488109528252416/83618845810992254125 |
j-invariant |
L |
7.0304042367881 |
L(r)(E,1)/r! |
Ω |
0.047772424734184 |
Real period |
R |
16.35160933648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9460d2 |
Quadratic twists by: -3 |