Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344bj |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-56623214592 = -1 · 212 · 38 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,960,-16] |
[a1,a2,a3,a4,a6] |
j |
32768000/18963 |
j-invariant |
L |
2.6642150258201 |
L(r)(E,1)/r! |
Ω |
0.6660537564411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2709a1 14448s1 |
Quadratic twists by: -4 -3 |