Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
54080cp |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
2.2239247069086E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-741121,94197921] |
[a1,a2,a3,a4,a6] |
Generators |
[236743499933265:-8092869264219648:2155187099213] |
Generators of the group modulo torsion |
j |
16194277/8000 |
j-invariant |
L |
8.5794475152765 |
L(r)(E,1)/r! |
Ω |
0.19023584006941 |
Real period |
R |
22.549503584998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080ba1 13520bg1 54080dj1 |
Quadratic twists by: -4 8 13 |