Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056ca |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
383657861210832 = 24 · 320 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27192,1445875] |
[a1,a2,a3,a4,a6] |
Generators |
[317:4968:1] |
Generators of the group modulo torsion |
j |
190633690660864/32892477813 |
j-invariant |
L |
3.2415071894787 |
L(r)(E,1)/r! |
Ω |
0.51004790704627 |
Real period |
R |
3.177649731229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10764j1 14352bg1 |
Quadratic twists by: -4 -3 |