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 |
42821168494804992 = 224 · 38 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42012300,104812432112] |
[a1,a2,a3,a4,a6] |
Generators |
[2728:102492:1] |
Generators of the group modulo torsion |
j |
42912679782639390625/224073792 |
j-invariant |
L |
6.6492458102692 |
L(r)(E,1)/r! |
Ω |
0.24517988999864 |
Real period |
R |
2.2599888495152 |
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 |
42048by3 1314a3 14016j3 |
Quadratic twists by: -4 8 -3 |