Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085o |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3397114875 = -1 · 3 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,-2810] |
[a1,a2,a3,a4,a6] |
Generators |
[37:220:1] |
Generators of the group modulo torsion |
j |
-4096/28875 |
j-invariant |
L |
2.4386987264394 |
L(r)(E,1)/r! |
Ω |
0.64129415746963 |
Real period |
R |
1.9013885422423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360eg1 24255by1 40425q1 1155g1 |
Quadratic twists by: -4 -3 5 -7 |