Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085q |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
396165 = 3 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ -1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-65,179] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
12845056/165 |
j-invariant |
L |
4.4704611893713 |
L(r)(E,1)/r! |
Ω |
3.0097987254965 |
Real period |
R |
1.4853023730461 |
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 |
129360ep1 24255y1 40425a1 8085b1 |
Quadratic twists by: -4 -3 5 -7 |