Atkin-Lehner |
2- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119548g |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18564000 |
Modular degree for the optimal curve |
Δ |
-1.5495880490559E+25 |
Discriminant |
Eigenvalues |
2- 0 2 2 11- 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43832129,-219877357403] |
[a1,a2,a3,a4,a6] |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
2.7196089180663 |
L(r)(E,1)/r! |
Ω |
0.027751107268234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
988b1 |
Quadratic twists by: -11 |