Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
90048bu |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3475132416 = 212 · 33 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1097,13335] |
[a1,a2,a3,a4,a6] |
j |
35676273088/848421 |
j-invariant |
L |
4.2156419302358 |
L(r)(E,1)/r! |
Ω |
1.4052139863059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bh2 45024a1 |
Quadratic twists by: -4 8 |