Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536j |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-132481200896 = -1 · 28 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ -3 -3 2 11- 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1444,27436] |
[a1,a2,a3,a4,a6] |
Generators |
[57:361:1] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
2.4282902404527 |
L(r)(E,1)/r! |
Ω |
0.97559718365347 |
Real period |
R |
1.2445147861963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31768h1 176a1 |
Quadratic twists by: -4 -19 |