Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bl |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-56886165504 = -1 · 217 · 32 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 6 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,863,6335] |
[a1,a2,a3,a4,a6] |
Generators |
[1686:14975:27] |
Generators of the group modulo torsion |
j |
541680046/434007 |
j-invariant |
L |
9.4811721412985 |
L(r)(E,1)/r! |
Ω |
0.7185268681127 |
Real period |
R |
6.5976461853417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552cm2 13944b2 |
Quadratic twists by: -4 8 |