Atkin-Lehner |
2- 3+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4416r |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-3391488 = -1 · 214 · 32 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 0 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] [0:9:1] |
Generators of the group modulo torsion |
j |
21296/207 |
j-invariant |
L |
3.3702373189332 |
L(r)(E,1)/r! |
Ω |
1.8416405522962 |
Real period |
R |
0.91500953178202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416o1 1104d1 13248bq1 110400ik1 |
Quadratic twists by: -4 8 -3 5 |