Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3636a |
Isogeny class |
Conductor |
3636 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
18849024 = 28 · 36 · 101 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 -3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
221184/101 |
j-invariant |
L |
3.5863241261468 |
L(r)(E,1)/r! |
Ω |
1.7114648113068 |
Real period |
R |
1.0477352798766 |
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 |
14544q1 58176ba1 404a1 90900e1 |
Quadratic twists by: -4 8 -3 5 |