Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360em |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
373956710400 = 212 · 32 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2681,-43719] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:91:1] |
Generators of the group modulo torsion |
j |
520494549184/91298025 |
j-invariant |
L |
5.4287241845383 |
L(r)(E,1)/r! |
Ω |
0.671423074069 |
Real period |
R |
1.010675011426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360fw2 43680cl1 |
Quadratic twists by: -4 8 |