Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960ej |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.5164047518925E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401068,-281682992] |
[a1,a2,a3,a4,a6] |
Generators |
[80684:22914000:1] |
Generators of the group modulo torsion |
j |
8010684753304969/4456448000000 |
j-invariant |
L |
3.6951377202966 |
L(r)(E,1)/r! |
Ω |
0.13008028714306 |
Real period |
R |
7.101648146395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bm3 12240ca3 5440y3 |
Quadratic twists by: -4 8 -3 |