Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19536r |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6437551240859904 = -1 · 28 · 34 · 112 · 376 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35388,2875500] |
[a1,a2,a3,a4,a6] |
j |
19144301716363952/25146684534609 |
j-invariant |
L |
0.56926990529984 |
L(r)(E,1)/r! |
Ω |
0.28463495264992 |
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 |
4884d2 78144df2 58608bk2 |
Quadratic twists by: -4 8 -3 |