Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440er |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.4316575315283E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,387213,1117464626] |
[a1,a2,a3,a4,a6] |
Generators |
[-625:25126:1] |
Generators of the group modulo torsion |
j |
2150235484224911/181905111732960 |
j-invariant |
L |
6.7618898431867 |
L(r)(E,1)/r! |
Ω |
0.12571409636924 |
Real period |
R |
6.7234801411428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930n4 18480ca4 |
Quadratic twists by: -4 -3 |