Atkin-Lehner |
2- 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27816j |
Isogeny class |
Conductor |
27816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19601156352 = 28 · 3 · 193 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -6 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109764,-13960572] |
[a1,a2,a3,a4,a6] |
Generators |
[2798:146888:1] |
Generators of the group modulo torsion |
j |
571304281553868112/76567017 |
j-invariant |
L |
2.756207677436 |
L(r)(E,1)/r! |
Ω |
0.26229151835932 |
Real period |
R |
5.2540922685503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55632h2 83448e2 |
Quadratic twists by: -4 -3 |