Atkin-Lehner |
3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25155b |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.7768282050932E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20608643,-36004200164] |
[a1,a2,a3,a4,a6] |
Generators |
[-18012703:4998265:6859] |
Generators of the group modulo torsion |
j |
49179101301788334621003/902722250212445 |
j-invariant |
L |
1.6711252685676 |
L(r)(E,1)/r! |
Ω |
0.070857803495978 |
Real period |
R |
11.792104652683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25155f2 125775j2 |
Quadratic twists by: -3 5 |