Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648v |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
14541914112 = 218 · 3 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1760,28416] |
[a1,a2,a3,a4,a6] |
Generators |
[16:64:1] |
Generators of the group modulo torsion |
j |
147281603041/3550272 |
j-invariant |
L |
2.0842695224383 |
L(r)(E,1)/r! |
Ω |
1.2470194420695 |
Real period |
R |
0.8357004919584 |
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 |
2706q1 86592cz1 64944bl1 |
Quadratic twists by: -4 8 -3 |