Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808cb |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-20488162000896 = -1 · 214 · 37 · 833 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 3 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3876,-196976] |
[a1,a2,a3,a4,a6] |
Generators |
[326:5976:1] [128:1548:1] |
Generators of the group modulo torsion |
j |
539172272/1715361 |
j-invariant |
L |
8.1118501461706 |
L(r)(E,1)/r! |
Ω |
0.34899807853267 |
Real period |
R |
0.48423440826887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808q2 11952q2 15936v2 |
Quadratic twists by: -4 8 -3 |