Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144p |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-24031414222848 = -1 · 215 · 36 · 172 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8344,373652] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-306:1] [-58:816:1] |
Generators of the group modulo torsion |
j |
-15686956710937/5867044488 |
j-invariant |
L |
9.2140325266723 |
L(r)(E,1)/r! |
Ω |
0.63373385363306 |
Real period |
R |
0.60580324018324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018a2 |
Quadratic twists by: -4 |