Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085s |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
8560729485 = 33 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 11+ -5 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-800,-7759] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:143:8] |
Generators of the group modulo torsion |
j |
9834496/1485 |
j-invariant |
L |
9.7461683340118 |
L(r)(E,1)/r! |
Ω |
0.90668828657463 |
Real period |
R |
1.1943548942924 |
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 |
129360eu1 24255bb1 40425g1 8085h1 |
Quadratic twists by: -4 -3 5 -7 |