Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8118f |
Isogeny class |
Conductor |
8118 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-2.7749768865075E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 11- -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1351359,1004308861] |
[a1,a2,a3,a4,a6] |
Generators |
[2690:128381:1] |
Generators of the group modulo torsion |
j |
-374376499897742059249/380655265638892464 |
j-invariant |
L |
3.9537761361791 |
L(r)(E,1)/r! |
Ω |
0.15814959603969 |
Real period |
R |
6.2500572799231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64944ba1 2706k1 89298cp1 |
Quadratic twists by: -4 -3 -11 |