Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050k |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-18091291148437500 = -1 · 22 · 39 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,64083,1684241] |
[a1,a2,a3,a4,a6] |
j |
804357/500 |
j-invariant |
L |
0.96026044327099 |
L(r)(E,1)/r! |
Ω |
0.24006511081773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22050dh1 4410z3 450f3 |
Quadratic twists by: -3 5 -7 |