Atkin-Lehner |
2- 3- 11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682bj |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-38699345686716 = -1 · 22 · 39 · 112 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8284,-75229] |
[a1,a2,a3,a4,a6] |
Generators |
[4286:98387:8] |
Generators of the group modulo torsion |
j |
86251290676487/53085522204 |
j-invariant |
L |
8.7904993157573 |
L(r)(E,1)/r! |
Ω |
0.37437721557911 |
Real period |
R |
5.870081668076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36894r1 |
Quadratic twists by: -3 |