Atkin-Lehner |
3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51183c |
Isogeny class |
Conductor |
51183 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
77027024075067 = 39 · 116 · 472 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155750,-23615886] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:174:1] |
Generators of the group modulo torsion |
j |
323535264625/59643 |
j-invariant |
L |
1.5759554297789 |
L(r)(E,1)/r! |
Ω |
0.24032423189179 |
Real period |
R |
1.6394054579497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17061b2 423b2 |
Quadratic twists by: -3 -11 |