Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344f |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10319580859392 = 210 · 314 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6555,133562] |
[a1,a2,a3,a4,a6] |
Generators |
[19:126:1] |
Generators of the group modulo torsion |
j |
41726726500/13824027 |
j-invariant |
L |
6.6749721376853 |
L(r)(E,1)/r! |
Ω |
0.66636345257034 |
Real period |
R |
2.5042535390913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21672n2 14448a2 |
Quadratic twists by: -4 -3 |