Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680da |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-17695011962880 = -1 · 216 · 33 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21867,1260954] |
[a1,a2,a3,a4,a6] |
Generators |
[85:128:1] |
Generators of the group modulo torsion |
j |
-10456049121363/160002640 |
j-invariant |
L |
5.7621246057926 |
L(r)(E,1)/r! |
Ω |
0.69287127454821 |
Real period |
R |
2.0790747195297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710t1 85680cq1 |
Quadratic twists by: -4 -3 |