Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157l |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4860380822015325321 = 38 · 1110 · 134 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-516209,95667608] |
[a1,a2,a3,a4,a6] |
Generators |
[9822:284795:8] |
Generators of the group modulo torsion |
j |
11779205551777/3763454409 |
j-invariant |
L |
3.3905447217894 |
L(r)(E,1)/r! |
Ω |
0.22492017822829 |
Real period |
R |
7.5372177554209 |
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 |
4719j4 1287e4 |
Quadratic twists by: -3 -11 |