Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4446b |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3247071757488 = -1 · 24 · 39 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,498,-86716] |
[a1,a2,a3,a4,a6] |
j |
693154125/164968336 |
j-invariant |
L |
1.4983281485901 |
L(r)(E,1)/r! |
Ω |
0.37458203714753 |
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 |
35568v2 4446l2 111150df2 57798z2 |
Quadratic twists by: -4 -3 5 13 |