Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355r |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5.152232113715E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,43173704,2083242965] |
[a1,a2,a3,a4,a6] |
Generators |
[48986234:5788944383:10648] |
Generators of the group modulo torsion |
j |
75048384514044943/43446533203125 |
j-invariant |
L |
4.2381858367205 |
L(r)(E,1)/r! |
Ω |
0.045859687088013 |
Real period |
R |
7.701364215403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56355k2 |
Quadratic twists by: 17 |