Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4446m |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2912 |
Modular degree for the optimal curve |
Δ |
-54632448 = -1 · 213 · 33 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 5 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-356,2695] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-19:1] |
Generators of the group modulo torsion |
j |
-184317154371/2023424 |
j-invariant |
L |
4.4737287119476 |
L(r)(E,1)/r! |
Ω |
1.9981520614017 |
Real period |
R |
0.086112810053284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568x1 4446c1 111150m1 57798b1 |
Quadratic twists by: -4 -3 5 13 |