Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16536i |
Isogeny class |
Conductor |
16536 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
10914910284904704 = 28 · 312 · 134 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165204,-25406784] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:330:1] |
Generators of the group modulo torsion |
j |
1947816547556982352/42636368300409 |
j-invariant |
L |
4.8449909471679 |
L(r)(E,1)/r! |
Ω |
0.23712243850726 |
Real period |
R |
3.4054073341942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
33072e2 49608g2 |
Quadratic twists by: -4 -3 |