Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360i |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17242292883456000 = 215 · 312 · 53 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106960,-11854400] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:890:1] |
Generators of the group modulo torsion |
j |
33039388998357841/4209544161000 |
j-invariant |
L |
4.6346500214626 |
L(r)(E,1)/r! |
Ω |
0.2662071097473 |
Real period |
R |
1.4508284000698 |
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 |
2670e2 85440bh2 64080z2 106800br2 |
Quadratic twists by: -4 8 -3 5 |