Atkin-Lehner |
2+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44096f |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-13507786499424256 = -1 · 229 · 132 · 533 |
Discriminant |
Eigenvalues |
2+ 0 1 -2 -1 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-496172,134639152] |
[a1,a2,a3,a4,a6] |
j |
-51532421181502689/51528116224 |
j-invariant |
L |
1.5821166862824 |
L(r)(E,1)/r! |
Ω |
0.39552917159739 |
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 |
44096p1 1378c1 |
Quadratic twists by: -4 8 |