Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085n |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
91722101625 = 34 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-795884,273222821] |
[a1,a2,a3,a4,a6] |
Generators |
[579:2278:1] |
Generators of the group modulo torsion |
j |
473897054735271721/779625 |
j-invariant |
L |
5.6763662188831 |
L(r)(E,1)/r! |
Ω |
0.69025298808797 |
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 |
129360eh1 24255bu1 40425m1 1155f1 |
Quadratic twists by: -4 -3 5 -7 |