Atkin-Lehner |
2+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44096g |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-321206928891969536 = -1 · 243 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ -1 1 5 -4 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-883745,321225889] |
[a1,a2,a3,a4,a6] |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
2.4541243638906 |
L(r)(E,1)/r! |
Ω |
0.3067655454913 |
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 |
44096q1 1378a1 |
Quadratic twists by: -4 8 |