Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925m |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-207984417609375 = -1 · 314 · 56 · 112 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6970,654972] |
[a1,a2,a3,a4,a6] |
j |
3288008303/18259263 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
18975e1 2277b1 |
Quadratic twists by: -3 5 |