Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085n |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.1446642299561E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1014424,111333191] |
[a1,a2,a3,a4,a6] |
Generators |
[10742:268339:8] |
Generators of the group modulo torsion |
j |
981281029968144361/522287841796875 |
j-invariant |
L |
5.6763662188831 |
L(r)(E,1)/r! |
Ω |
0.17256324702199 |
Real period |
R |
4.1118012647847 |
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 |
129360eh4 24255bu4 40425m4 1155f3 |
Quadratic twists by: -4 -3 5 -7 |