Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bt |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
178052087955456 = 214 · 312 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-370659,86855650] |
[a1,a2,a3,a4,a6] |
Generators |
[375:770:1] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
6.022185770708 |
L(r)(E,1)/r! |
Ω |
0.53181311184959 |
Real period |
R |
2.8309690173694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2574j2 82368dr2 6864w2 |
Quadratic twists by: -4 8 -3 |