Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bt |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-8.650470869189E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56056,-1415098156] |
[a1,a2,a3,a4,a6] |
j |
-4755955967570809/211193136454809600 |
j-invariant |
L |
2.886097232752 |
L(r)(E,1)/r! |
Ω |
0.072152430818802 |
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 |
2730e2 87360ex2 65520dv2 109200dp2 |
Quadratic twists by: -4 8 -3 5 |