Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245c |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5028240714679045125 = 38 · 53 · 1910 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19518435,-33185583684] |
[a1,a2,a3,a4,a6] |
Generators |
[-136978270779847153943238960:88868122687073948516744937:53664745878801607380992] |
Generators of the group modulo torsion |
j |
23977812996389881/146611125 |
j-invariant |
L |
5.6590815111135 |
L(r)(E,1)/r! |
Ω |
0.071827121916896 |
Real period |
R |
39.393764918362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5415l4 81225bg4 855a4 |
Quadratic twists by: -3 5 -19 |