Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38844c |
Isogeny class |
Conductor |
38844 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-163610928 = -1 · 24 · 36 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -3 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,621] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:26:1] |
Generators of the group modulo torsion |
j |
-442368/14027 |
j-invariant |
L |
4.2482528793376 |
L(r)(E,1)/r! |
Ω |
1.5154486864471 |
Real period |
R |
1.4016485405712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4316a1 |
Quadratic twists by: -3 |