Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344c |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1398106794672 = -1 · 24 · 39 · 74 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18954,-1005993] |
[a1,a2,a3,a4,a6] |
Generators |
[4771275:72752526:15625] |
Generators of the group modulo torsion |
j |
-2391195396096/4439449 |
j-invariant |
L |
7.5536882699472 |
L(r)(E,1)/r! |
Ω |
0.20342110940591 |
Real period |
R |
9.2833141703042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21672a1 43344d1 |
Quadratic twists by: -4 -3 |