Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056bp |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-4.0469432216432E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2822691,1850820194] |
[a1,a2,a3,a4,a6] |
j |
-832964037319114273/13553130966687 |
j-invariant |
L |
1.6353807601539 |
L(r)(E,1)/r! |
Ω |
0.20442259502396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2691e1 14352v1 |
Quadratic twists by: -4 -3 |