Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ch |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4643168624640000 = 216 · 34 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54881,3688575] |
[a1,a2,a3,a4,a6] |
Generators |
[-213:2400:1] |
Generators of the group modulo torsion |
j |
278944461825124/70849130625 |
j-invariant |
L |
8.3219193236228 |
L(r)(E,1)/r! |
Ω |
0.40701279048038 |
Real period |
R |
2.5557917093581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994269 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360ea3 10920n3 |
Quadratic twists by: -4 8 |