Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384dc |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5305624123036483584 = 214 · 34 · 1310 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545169,108090351] |
[a1,a2,a3,a4,a6] |
j |
1093699533958754128/323829597353301 |
j-invariant |
L |
3.5899437294177 |
L(r)(E,1)/r! |
Ω |
0.2243714832111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384j2 18096f2 |
Quadratic twists by: -4 8 |