Atkin-Lehner |
2- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44096p |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[55776138:1913107456:35937] |
Generators of the group modulo torsion |
j |
-51532421181502689/51528116224 |
j-invariant |
L |
6.6948899736489 |
L(r)(E,1)/r! |
Ω |
0.089936391169173 |
Real period |
R |
9.3050347676338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44096f1 11024g1 |
Quadratic twists by: -4 8 |