Atkin-Lehner |
2+ 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714f |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
6161533198128 = 24 · 35 · 72 · 114 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1015946,394058252] |
[a1,a2,a3,a4,a6] |
Generators |
[570:208:1] |
Generators of the group modulo torsion |
j |
115967146737944508441625/6161533198128 |
j-invariant |
L |
4.6835346539461 |
L(r)(E,1)/r! |
Ω |
0.56621927063565 |
Real period |
R |
0.41357958805326 |
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 |
65142bc2 |
Quadratic twists by: -3 |