Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21648p |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
27493306368 = 212 · 3 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1112,-11472] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:34:1] |
Generators of the group modulo torsion |
j |
37159393753/6712233 |
j-invariant |
L |
4.3003404291974 |
L(r)(E,1)/r! |
Ω |
0.83695638971258 |
Real period |
R |
2.5690349473729 |
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 |
1353d1 86592dq1 64944bo1 |
Quadratic twists by: -4 8 -3 |