Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4416g |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1098842112 = -1 · 216 · 36 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,-2337] |
[a1,a2,a3,a4,a6] |
j |
-28756228/16767 |
j-invariant |
L |
3.4825893693171 |
L(r)(E,1)/r! |
Ω |
0.58043156155285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416v1 552a1 13248u1 110400bg1 |
Quadratic twists by: -4 8 -3 5 |