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 |
Δ |
15226161490155392 = 27 · 72 · 238 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1042801,410091425] |
[a1,a2,a3,a4,a6] |
Generators |
[543:1660:1] |
Generators of the group modulo torsion |
j |
125408692104005688400737/15226161490155392 |
j-invariant |
L |
5.4423684037568 |
L(r)(E,1)/r! |
Ω |
0.37863802838701 |
Real period |
R |
0.51334067252089 |
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 |
79856e4 89838e4 69874j4 |
Quadratic twists by: -4 -3 -7 |