Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289p |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-392933280821571 = -1 · 36 · 79 · 192 · 37 |
Discriminant |
Eigenvalues |
0 3- -3 7- -3 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36984,-2898963] |
[a1,a2,a3,a4,a6] |
Generators |
[965:-29327:1] |
Generators of the group modulo torsion |
j |
-7674283260116992/539003128699 |
j-invariant |
L |
3.2062089649292 |
L(r)(E,1)/r! |
Ω |
0.17144003810923 |
Real period |
R |
0.51948985265715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4921e1 |
Quadratic twists by: -3 |