Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bc |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-3351942 = -1 · 2 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 11- 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3372,-74530] |
[a1,a2,a3,a4,a6] |
j |
-48077951625/38 |
j-invariant |
L |
1.2530015297413 |
L(r)(E,1)/r! |
Ω |
0.31325038242393 |
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 |
4598p1 41382bt1 |
Quadratic twists by: -3 -11 |