Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048q |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.7710106065203E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,934260,721545968] |
[a1,a2,a3,a4,a6] |
Generators |
[10939196632:1321075484604:753571] |
Generators of the group modulo torsion |
j |
471910376801375/1450009133568 |
j-invariant |
L |
6.6492458102692 |
L(r)(E,1)/r! |
Ω |
0.12258994499932 |
Real period |
R |
13.559933097091 |
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 |
42048by2 1314a2 14016j2 |
Quadratic twists by: -4 8 -3 |