Atkin-Lehner |
3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1449d |
Isogeny class |
Conductor |
1449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-352107 = -1 · 37 · 7 · 23 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -1 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
1.5156885773717 |
L(r)(E,1)/r! |
Ω |
1.6559176253265 |
Real period |
R |
0.22882910269659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23184bm1 92736bu1 483b1 36225bl1 |
Quadratic twists by: -4 8 -3 5 |