Atkin-Lehner |
2- 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32364a |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-4529924352 = -1 · 28 · 39 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 -6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,3294] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:26:1] [3:-54:1] |
Generators of the group modulo torsion |
j |
-54000/899 |
j-invariant |
L |
8.015457378366 |
L(r)(E,1)/r! |
Ω |
1.162084510818 |
Real period |
R |
1.1495803881948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456u1 32364d1 |
Quadratic twists by: -4 -3 |