Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676p |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-6253210368 = -1 · 28 · 39 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 -2 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,3940] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:27:1] [8:-54:1] |
Generators of the group modulo torsion |
j |
-4194304/33507 |
j-invariant |
L |
6.4716966403391 |
L(r)(E,1)/r! |
Ω |
1.1490562208436 |
Real period |
R |
0.46934870859981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892j1 |
Quadratic twists by: -3 |