Atkin-Lehner |
2+ 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150c |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
46596093750 = 2 · 33 · 58 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1167,-11009] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:73:1] |
Generators of the group modulo torsion |
j |
416832723/110450 |
j-invariant |
L |
3.4546946187587 |
L(r)(E,1)/r! |
Ω |
0.83291572223707 |
Real period |
R |
1.0369280248066 |
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 |
21150bs2 4230y2 |
Quadratic twists by: -3 5 |