Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925m |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3471257076890625 = 38 · 56 · 112 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1309280,576949722] |
[a1,a2,a3,a4,a6] |
j |
21790813729717297/304746849 |
j-invariant |
L |
1.6249752535828 |
L(r)(E,1)/r! |
Ω |
0.40624381300853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18975e3 2277b4 |
Quadratic twists by: -3 5 |