Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502j |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.6809677242486E+26 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11407517766,-468954712886220] |
[a1,a2,a3,a4,a6] |
Generators |
[35559752863590289888213056045:-1921748030974056382521573529165:285363617346003047548059] |
Generators of the group modulo torsion |
j |
225200652891919039722467527495777/779282266700773756956672 |
j-invariant |
L |
5.4761390639923 |
L(r)(E,1)/r! |
Ω |
0.014608373238458 |
Real period |
R |
46.857878822283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834q4 |
Quadratic twists by: -3 |