Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15936v |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-28104474624 = -1 · 214 · 3 · 833 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -3 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,431,7439] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:72:1] |
Generators of the group modulo torsion |
j |
539172272/1715361 |
j-invariant |
L |
6.7939935747769 |
L(r)(E,1)/r! |
Ω |
0.83547821861371 |
Real period |
R |
2.0329654991036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15936g2 3984e2 47808cb2 |
Quadratic twists by: -4 8 -3 |