Atkin-Lehner |
2- 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9982c |
Isogeny class |
Conductor |
9982 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-215701579104256 = -1 · 228 · 72 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11279,532641] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:660:1] |
Generators of the group modulo torsion |
j |
158698053416746143/215701579104256 |
j-invariant |
L |
5.4423684037568 |
L(r)(E,1)/r! |
Ω |
0.37863802838701 |
Real period |
R |
2.0533626900836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79856e1 89838e1 69874j1 |
Quadratic twists by: -4 -3 -7 |