Atkin-Lehner |
2- 3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566n |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
5658215808 = 27 · 3 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12568577,-17155756417] |
[a1,a2,a3,a4,a6] |
j |
219574571910874577901865873/5658215808 |
j-invariant |
L |
4.4902038092318 |
L(r)(E,1)/r! |
Ω |
0.080182210879139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528bb4 40698t4 94962ce4 |
Quadratic twists by: -4 -3 -7 |