Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157k |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
79227685494243 = 37 · 118 · 132 |
Discriminant |
Eigenvalues |
-1 3- 0 0 11- 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14180,492396] |
[a1,a2,a3,a4,a6] |
Generators |
[14:537:1] |
Generators of the group modulo torsion |
j |
244140625/61347 |
j-invariant |
L |
2.8669182628101 |
L(r)(E,1)/r! |
Ω |
0.57172130945003 |
Real period |
R |
1.2536345136269 |
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 |
4719c2 1287c2 |
Quadratic twists by: -3 -11 |