Atkin-Lehner |
11- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109681d |
Isogeny class |
Conductor |
109681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
6882320093077 = 11 · 139 · 59 |
Discriminant |
Eigenvalues |
0 1 0 1 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24223,1437531] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:10981:8] |
Generators of the group modulo torsion |
j |
325660672000/1425853 |
j-invariant |
L |
5.7862579468671 |
L(r)(E,1)/r! |
Ω |
0.75151039786148 |
Real period |
R |
1.9248762164924 |
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 |
8437b1 |
Quadratic twists by: 13 |