Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048q |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.8740432817386E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41989260,104933134064] |
[a1,a2,a3,a4,a6] |
Generators |
[4853:124319:1] |
Generators of the group modulo torsion |
j |
-42842117160045582625/98064578635272 |
j-invariant |
L |
6.6492458102692 |
L(r)(E,1)/r! |
Ω |
0.12258994499932 |
Real period |
R |
4.5199776990303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048by4 1314a4 14016j4 |
Quadratic twists by: -4 8 -3 |