Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
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 |
[-33:312:1] |
Generators of the group modulo torsion |
j |
520494549184/91298025 |
j-invariant |
L |
7.159507278977 |
L(r)(E,1)/r! |
Ω |
0.9083415844998 |
Real period |
R |
1.9704886909687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997251 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360em2 43680bk1 |
Quadratic twists by: -4 8 |