Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
110880bn |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
1.4527688468622E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-627213,54089152] |
[a1,a2,a3,a4,a6] |
Generators |
[21459:204974:27] [-711:11858:1] |
Generators of the group modulo torsion |
j |
584872717700154304/311378782335005 |
j-invariant |
L |
11.355324770921 |
L(r)(E,1)/r! |
Ω |
0.19458843727101 |
Real period |
R |
1.4588899694513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880y1 12320k1 |
Quadratic twists by: -4 -3 |