Atkin-Lehner |
5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
55055m |
Isogeny class |
Conductor |
55055 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15320448 |
Modular degree for the optimal curve |
Δ |
-3.1080648365877E+24 |
Discriminant |
Eigenvalues |
-2 -2 5- 7+ 11- 13- 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,12383210,-83141994094] |
[a1,a2,a3,a4,a6] |
j |
1735553559323420803518464/25686486252790549370275 |
j-invariant |
L |
0.70336875578411 |
L(r)(E,1)/r! |
Ω |
0.039076041901744 |
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 |
55055t1 |
Quadratic twists by: -11 |