Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984bp |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1930844434436753328 = -1 · 24 · 39 · 1910 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 0 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-66854673] |
[a1,a2,a3,a4,a6] |
Generators |
[997713651:14294592450:2048383] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.5439480354084 |
L(r)(E,1)/r! |
Ω |
0.12055255507261 |
Real period |
R |
14.698767824931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12996g2 51984bp1 51984be2 |
Quadratic twists by: -4 -3 -19 |