Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064b |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3418263552 = -1 · 212 · 3 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,143,-2783] |
[a1,a2,a3,a4,a6] |
Generators |
[48573:577760:343] |
Generators of the group modulo torsion |
j |
78402752/834537 |
j-invariant |
L |
5.7016383398055 |
L(r)(E,1)/r! |
Ω |
0.69456033379414 |
Real period |
R |
8.2089892877404 |
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 |
20064m4 40128cf1 60192x2 |
Quadratic twists by: -4 8 -3 |