Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fp |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
55723894122960 = 24 · 310 · 5 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72372,-7485221] |
[a1,a2,a3,a4,a6] |
Generators |
[21010:1070811:8] |
Generators of the group modulo torsion |
j |
3594081530527744/4777425765 |
j-invariant |
L |
7.8701782499921 |
L(r)(E,1)/r! |
Ω |
0.29109957899295 |
Real period |
R |
6.7590086124275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420t1 28560dn1 |
Quadratic twists by: -4 -3 |