Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16072g |
Isogeny class |
Conductor |
16072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-56949034980984832 = -1 · 211 · 714 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46501,-10813418] |
[a1,a2,a3,a4,a6] |
Generators |
[143252573507868462:24063905392200537380:5076918958203] |
Generators of the group modulo torsion |
j |
46152198846/236356841 |
j-invariant |
L |
5.2749353209448 |
L(r)(E,1)/r! |
Ω |
0.17727206759514 |
Real period |
R |
29.756156130541 |
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 |
32144c3 128576m3 2296b4 |
Quadratic twists by: -4 8 -7 |