Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21648q |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
55001154650112 = 216 · 33 · 11 · 414 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-406064,99730368] |
[a1,a2,a3,a4,a6] |
Generators |
[538:6058:1] |
Generators of the group modulo torsion |
j |
1807791328511035057/13428016272 |
j-invariant |
L |
2.8362889093088 |
L(r)(E,1)/r! |
Ω |
0.56341855047614 |
Real period |
R |
5.0340708642126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2706r3 86592dn4 64944bn4 |
Quadratic twists by: -4 8 -3 |