Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648v |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1463058432 = 215 · 32 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28000,1812736] |
[a1,a2,a3,a4,a6] |
Generators |
[64:528:1] |
Generators of the group modulo torsion |
j |
592725168252001/357192 |
j-invariant |
L |
2.0842695224383 |
L(r)(E,1)/r! |
Ω |
1.2470194420695 |
Real period |
R |
0.4178502459792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706q2 86592cz2 64944bl2 |
Quadratic twists by: -4 8 -3 |