Atkin-Lehner |
2- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8246f |
Isogeny class |
Conductor |
8246 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
55470842 = 2 · 72 · 19 · 313 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-295844491,1958663104097] |
[a1,a2,a3,a4,a6] |
j |
2863611978939318479176667557377/55470842 |
j-invariant |
L |
2.4239916082864 |
L(r)(E,1)/r! |
Ω |
0.3029989510358 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65968j4 74214m4 57722p4 |
Quadratic twists by: -4 -3 -7 |