Atkin-Lehner |
2+ 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dg |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23901696 |
Modular degree for the optimal curve |
Δ |
-1.9296867257487E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-549661077,4960239672181] |
[a1,a2,a3,a4,a6] |
j |
-201544580564199876850222949/21176260364869632 |
j-invariant |
L |
2.7364599024901 |
L(r)(E,1)/r! |
Ω |
0.11401916088625 |
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 |
28050cu1 84150gp1 |
Quadratic twists by: -3 5 |