Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21462m |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4163616870004593792 = 27 · 32 · 714 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-479981,-82161880] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:4504:1] |
Generators of the group modulo torsion |
j |
103945647763581625/35390159457408 |
j-invariant |
L |
4.3987437118976 |
L(r)(E,1)/r! |
Ω |
0.18638977930818 |
Real period |
R |
5.8999261228597 |
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 |
64386bo2 3066c2 |
Quadratic twists by: -3 -7 |