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 |
1.4035667774187E+20 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3276824,-2209998040] |
[a1,a2,a3,a4,a6] |
Generators |
[5745:407680:1] |
Generators of the group modulo torsion |
j |
3013001140430737/108679952667 |
j-invariant |
L |
3.3905447217894 |
L(r)(E,1)/r! |
Ω |
0.11246008911414 |
Real period |
R |
3.7686088777105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4719j5 1287e5 |
Quadratic twists by: -3 -11 |