Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676n |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
389376 |
Modular degree for the optimal curve |
Δ |
-106712041696789248 = -1 · 28 · 319 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 3 4 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72024,-13844396] |
[a1,a2,a3,a4,a6] |
j |
221405257736192/571802349627 |
j-invariant |
L |
2.7597247205207 |
L(r)(E,1)/r! |
Ω |
0.17248279504741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892i1 |
Quadratic twists by: -3 |