Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220j |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-11862944100000000 = -1 · 28 · 310 · 58 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-354156,-81409500] |
[a1,a2,a3,a4,a6] |
j |
-19189726486510523344/46339625390625 |
j-invariant |
L |
2.9351427783686 |
L(r)(E,1)/r! |
Ω |
0.097838092612287 |
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 |
68880bd2 51660q2 86100b2 120540u2 |
Quadratic twists by: -4 -3 5 -7 |