Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21472d |
Isogeny class |
Conductor |
21472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
3486666304 = 26 · 114 · 612 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11+ -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4921,132840] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:420:1] |
Generators of the group modulo torsion |
j |
205922514748608/54479161 |
j-invariant |
L |
2.6312303897085 |
L(r)(E,1)/r! |
Ω |
1.3739862462689 |
Real period |
R |
3.830068018299 |
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 |
21472g1 42944u2 |
Quadratic twists by: -4 8 |