Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360f |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.8381714677658E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24656504,-116663250704] |
[a1,a2,a3,a4,a6] |
j |
404723333046222924179831/1669475455997501952000 |
j-invariant |
L |
1.2122481319846 |
L(r)(E,1)/r! |
Ω |
0.037882754124517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2670b4 85440bq4 64080bj4 106800bw4 |
Quadratic twists by: -4 8 -3 5 |