Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52632m |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
409266432 = 28 · 37 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591,205954] |
[a1,a2,a3,a4,a6] |
Generators |
[29:198:1] |
Generators of the group modulo torsion |
j |
169671989968/2193 |
j-invariant |
L |
4.7423514243541 |
L(r)(E,1)/r! |
Ω |
1.5317786831227 |
Real period |
R |
1.5479884517876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264j1 17544c1 |
Quadratic twists by: -4 -3 |