Atkin-Lehner |
11- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109681d |
Isogeny class |
Conductor |
109681 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
17152900032687133 = 113 · 137 · 593 |
Discriminant |
Eigenvalues |
0 1 0 1 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-134073,-17858720] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:929:1] |
Generators of the group modulo torsion |
j |
55219290112000/3553672837 |
j-invariant |
L |
5.7862579468671 |
L(r)(E,1)/r! |
Ω |
0.25050346595383 |
Real period |
R |
0.64162540549746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8437b2 |
Quadratic twists by: 13 |