Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bz |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-230968810176192 = -1 · 26 · 33 · 117 · 193 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19227,-1266453] |
[a1,a2,a3,a4,a6] |
j |
-12282899674788352/3608887659003 |
j-invariant |
L |
4.1934939142849 |
L(r)(E,1)/r! |
Ω |
0.19969018639369 |
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 |
40128bj1 20064d1 120384cq1 |
Quadratic twists by: -4 8 -3 |