Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120o |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
-8.7192615125E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11+ -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2854560,2338543600] |
[a1,a2,a3,a4,a6] |
Generators |
[-1290:62230:1] [670:-26950:1] |
Generators of the group modulo torsion |
j |
-435769785893764/147705078125 |
j-invariant |
L |
7.9843177053755 |
L(r)(E,1)/r! |
Ω |
0.1490315929874 |
Real period |
R |
0.34342734132038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560p1 43120f1 |
Quadratic twists by: -4 -7 |