Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560u |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40584199040000 = 210 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8640,43100] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:588:1] |
Generators of the group modulo torsion |
j |
592143556/336875 |
j-invariant |
L |
8.0224519400053 |
L(r)(E,1)/r! |
Ω |
0.55396257733811 |
Real period |
R |
1.8102423043075 |
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 |
43120t2 107800r2 3080d2 |
Quadratic twists by: -4 5 -7 |