Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352bi |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-20633812992 = -1 · 216 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2488,47444] |
[a1,a2,a3,a4,a6] |
Generators |
[20:78:1] |
Generators of the group modulo torsion |
j |
-415996269625/5037552 |
j-invariant |
L |
5.1395129425149 |
L(r)(E,1)/r! |
Ω |
1.2180823021634 |
Real period |
R |
0.52741848122525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794a1 57408cf1 43056bm1 |
Quadratic twists by: -4 8 -3 |