Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bx |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2082723840000 = 214 · 38 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5052,-119504] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:135:1] |
Generators of the group modulo torsion |
j |
1193895376/174375 |
j-invariant |
L |
7.8166982532388 |
L(r)(E,1)/r! |
Ω |
0.57180799787498 |
Real period |
R |
1.7087681266515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280fm2 5580a2 29760u2 |
Quadratic twists by: -4 8 -3 |