Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680u |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
43348239365760000 = 210 · 314 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91083,3406282] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2142:1] |
Generators of the group modulo torsion |
j |
111945903743524/58068950625 |
j-invariant |
L |
6.5119720738341 |
L(r)(E,1)/r! |
Ω |
0.31748685487788 |
Real period |
R |
2.5638746803743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008061 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840e2 28560bu2 |
Quadratic twists by: -4 -3 |