Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984k |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2167965680771091456 = 210 · 38 · 199 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1378659,-619024750] |
[a1,a2,a3,a4,a6] |
j |
1203052/9 |
j-invariant |
L |
5.0180352392324 |
L(r)(E,1)/r! |
Ω |
0.1393898677615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25992e2 17328c2 51984j2 |
Quadratic twists by: -4 -3 -19 |