Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fk |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
541033758720 = 221 · 34 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8697185,9875150337] |
[a1,a2,a3,a4,a6] |
j |
277536408914951281369/2063880 |
j-invariant |
L |
3.6415048735322 |
L(r)(E,1)/r! |
Ω |
0.45518811655128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cw4 21840ca4 |
Quadratic twists by: -4 8 |