Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648o |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
22167552 = 214 · 3 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-440,3696] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:64:1] [-6:78:1] |
Generators of the group modulo torsion |
j |
2305199161/5412 |
j-invariant |
L |
5.2725767854168 |
L(r)(E,1)/r! |
Ω |
2.1500617803217 |
Real period |
R |
2.452290828884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706i1 86592dk1 64944bx1 |
Quadratic twists by: -4 8 -3 |