Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bc |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2044542809088 = 210 · 312 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5664,-148952] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1224:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
7.494018835966 |
L(r)(E,1)/r! |
Ω |
0.55393571487009 |
Real period |
R |
3.3821699098958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296db1 7956b1 42432bg1 |
Quadratic twists by: -4 8 -3 |