Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048t |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-164978816974848 = -1 · 219 · 310 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,618608] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:803:1] |
Generators of the group modulo torsion |
j |
-3048625/863298 |
j-invariant |
L |
5.1876863941516 |
L(r)(E,1)/r! |
Ω |
0.46698087621975 |
Real period |
R |
2.777247773051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048bx2 1314b2 14016l2 |
Quadratic twists by: -4 8 -3 |