Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085n |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6.48794424803E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-581754,423451627] |
[a1,a2,a3,a4,a6] |
Generators |
[-577:24102:1] |
Generators of the group modulo torsion |
j |
-185077034913624841/551466161890875 |
j-invariant |
L |
5.6763662188831 |
L(r)(E,1)/r! |
Ω |
0.17256324702199 |
Real period |
R |
1.0279503161962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360eh3 24255bu3 40425m3 1155f4 |
Quadratic twists by: -4 -3 5 -7 |