Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660i |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1287175304160000 = 28 · 32 · 54 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27556,356200] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:722:1] |
Generators of the group modulo torsion |
j |
192143824/106875 |
j-invariant |
L |
2.7852685321082 |
L(r)(E,1)/r! |
Ω |
0.41887328688554 |
Real period |
R |
0.55411915315678 |
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 |
86640dr2 64980bs2 108300cg2 1140d2 |
Quadratic twists by: -4 -3 5 -19 |