Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21660g |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-2166000 = -1 · 24 · 3 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1146,15321] |
[a1,a2,a3,a4,a6] |
Generators |
[20:1:1] |
Generators of the group modulo torsion |
j |
-28842260224/375 |
j-invariant |
L |
4.1790996021372 |
L(r)(E,1)/r! |
Ω |
2.371178241773 |
Real period |
R |
0.58748565425044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640do2 64980bm2 108300cf2 21660s2 |
Quadratic twists by: -4 -3 5 -19 |