Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21056u |
Isogeny class |
Conductor |
21056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21724401664 = 212 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3076,65280] |
[a1,a2,a3,a4,a6] |
Generators |
[48:168:1] |
Generators of the group modulo torsion |
j |
785819420352/5303809 |
j-invariant |
L |
3.6676007951915 |
L(r)(E,1)/r! |
Ω |
1.2147410047659 |
Real period |
R |
1.5096225371507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21056n2 10528f1 |
Quadratic twists by: -4 8 |