Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21996a |
Isogeny class |
Conductor |
21996 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
40023569664 = 28 · 39 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -3 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54432,4887972] |
[a1,a2,a3,a4,a6] |
Generators |
[132:54:1] |
Generators of the group modulo torsion |
j |
3539609321472/7943 |
j-invariant |
L |
5.6110963888744 |
L(r)(E,1)/r! |
Ω |
0.99068651919197 |
Real period |
R |
0.47198720955738 |
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 |
87984v1 21996c1 |
Quadratic twists by: -4 -3 |