Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150y |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
757842739200 = 215 · 39 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 -5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5493357,4957071781] |
[a1,a2,a3,a4,a6] |
Generators |
[86612:-42793:64] |
Generators of the group modulo torsion |
j |
1005934471045444099705/41582592 |
j-invariant |
L |
3.9613030671223 |
L(r)(E,1)/r! |
Ω |
0.48367178110732 |
Real period |
R |
4.0950322324504 |
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 |
7050s2 21150ch2 |
Quadratic twists by: -3 5 |