Atkin-Lehner |
2+ 3+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47526a |
Isogeny class |
Conductor |
47526 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
12166656 = 29 · 3 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1366,-20012] |
[a1,a2,a3,a4,a6] |
Generators |
[-21690:11491:1000] |
Generators of the group modulo torsion |
j |
35628084217/1536 |
j-invariant |
L |
4.6410042549103 |
L(r)(E,1)/r! |
Ω |
0.78522951218885 |
Real period |
R |
5.9103793004414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47526f2 |
Quadratic twists by: 89 |