Atkin-Lehner |
11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29887f |
Isogeny class |
Conductor |
29887 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13077820970929 = 118 · 132 · 192 |
Discriminant |
Eigenvalues |
1 0 -2 0 11- 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-109588,13989795] |
[a1,a2,a3,a4,a6] |
Generators |
[270190:1877377:1000] |
Generators of the group modulo torsion |
j |
82159697864817/7382089 |
j-invariant |
L |
4.1354071872373 |
L(r)(E,1)/r! |
Ω |
0.67759031095194 |
Real period |
R |
6.1031085014003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2717a2 |
Quadratic twists by: -11 |