Atkin-Lehner |
11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327g |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-1180340447 = -1 · 11 · 135 · 172 |
Discriminant |
Eigenvalues |
-1 1 0 3 11+ 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5718,-166909] |
[a1,a2,a3,a4,a6] |
j |
-71542328226625/4084223 |
j-invariant |
L |
1.3725451594182 |
L(r)(E,1)/r! |
Ω |
0.27450903187421 |
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 |
41327o1 |
Quadratic twists by: 17 |