Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55660d |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
574992 |
Modular degree for the optimal curve |
Δ |
-1193121531646000 = -1 · 24 · 53 · 1110 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-605161,-181004514] |
[a1,a2,a3,a4,a6] |
Generators |
[10541721722803745634270069149443654109578560406008250467363246677968698:5847558486465133673292775557098797733566325566374753819164696076493888686:34259522412332619998242594986329502209016879272394055928027803651] |
Generators of the group modulo torsion |
j |
-59059585024/2875 |
j-invariant |
L |
9.5601548181967 |
L(r)(E,1)/r! |
Ω |
0.085585560223716 |
Real period |
R |
111.70289466128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55660e1 |
Quadratic twists by: -11 |