Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648u |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4180742139543552 = -1 · 221 · 34 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28808,-2486672] |
[a1,a2,a3,a4,a6] |
Generators |
[348:7040:1] |
Generators of the group modulo torsion |
j |
645487763368967/1020688998912 |
j-invariant |
L |
5.088078103285 |
L(r)(E,1)/r! |
Ω |
0.2313500284681 |
Real period |
R |
1.3745616698688 |
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 |
2706e2 86592cx2 64944bh2 |
Quadratic twists by: -4 8 -3 |