Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344g |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1096115727022848 = -1 · 28 · 39 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42951,-3778346] |
[a1,a2,a3,a4,a6] |
Generators |
[56955:2602684:27] |
Generators of the group modulo torsion |
j |
-46954374288208/5873391027 |
j-invariant |
L |
4.1465723870168 |
L(r)(E,1)/r! |
Ω |
0.16466370575611 |
Real period |
R |
6.295516622767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21672o2 14448h2 |
Quadratic twists by: -4 -3 |