Atkin-Lehner |
2- 3+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14586j |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-17983956399469632 = -1 · 26 · 314 · 112 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78898,-10728193] |
[a1,a2,a3,a4,a6] |
Generators |
[375:3361:1] |
Generators of the group modulo torsion |
j |
-54315282059491182625/17983956399469632 |
j-invariant |
L |
5.3122995801675 |
L(r)(E,1)/r! |
Ω |
0.14007660202354 |
Real period |
R |
3.1603538727061 |
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 |
116688u2 43758f2 |
Quadratic twists by: -4 -3 |