Atkin-Lehner |
2+ 3+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248a |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
990206208 = 28 · 34 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-388,2656] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:72:1] |
Generators of the group modulo torsion |
j |
25298674000/3867993 |
j-invariant |
L |
4.3256504469353 |
L(r)(E,1)/r! |
Ω |
1.4973498912175 |
Real period |
R |
1.4444354229784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21624g1 129744j1 |
Quadratic twists by: -4 -3 |