Atkin-Lehner |
3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22185i |
Isogeny class |
Conductor |
22185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12213882421875 = 37 · 58 · 17 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2058885,1137608550] |
[a1,a2,a3,a4,a6] |
j |
1324013981269137345361/16754296875 |
j-invariant |
L |
1.0066878603151 |
L(r)(E,1)/r! |
Ω |
0.50334393015755 |
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 |
7395m5 110925bc6 |
Quadratic twists by: -3 5 |