Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550w |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.4624049118906E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1972376,-1039274602] |
[a1,a2,a3,a4,a6] |
Generators |
[-883:4191:1] |
Generators of the group modulo torsion |
j |
54309086480107021681/1575939143610000 |
j-invariant |
L |
5.46517189544 |
L(r)(E,1)/r! |
Ω |
0.12762112827593 |
Real period |
R |
2.6764631223722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11310j3 |
Quadratic twists by: 5 |