Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24336s |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
160303381369926912 = 28 · 310 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164775,17079478] |
[a1,a2,a3,a4,a6] |
Generators |
[1661:65772:1] |
Generators of the group modulo torsion |
j |
250000/81 |
j-invariant |
L |
5.4846150310719 |
L(r)(E,1)/r! |
Ω |
0.29860626377369 |
Real period |
R |
4.5918452628548 |
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 |
12168v2 97344gf2 8112r2 24336t2 |
Quadratic twists by: -4 8 -3 13 |