Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792a |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
231928686968832 = 224 · 38 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-938593,350309089] |
[a1,a2,a3,a4,a6] |
Generators |
[1855:70632:1] |
Generators of the group modulo torsion |
j |
348831893748633625/884737728 |
j-invariant |
L |
4.3181842884263 |
L(r)(E,1)/r! |
Ω |
0.48317273372893 |
Real period |
R |
4.4685719900229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792da2 1806c2 |
Quadratic twists by: -4 8 |