Atkin-Lehner |
2+ 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
56088d |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
1.4775347724569E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4173159,2710477658] |
[a1,a2,a3,a4,a6] |
j |
43067634060817694032/7917174492331617 |
j-invariant |
L |
2.5879435568891 |
L(r)(E,1)/r! |
Ω |
0.14377464199067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112176h1 18696e1 |
Quadratic twists by: -4 -3 |