Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71944d |
Isogeny class |
Conductor |
71944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-43809148847104 = -1 · 210 · 172 · 236 |
Discriminant |
Eigenvalues |
2- -2 2 2 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8288,-127920] |
[a1,a2,a3,a4,a6] |
Generators |
[102744:1432180:729] |
Generators of the group modulo torsion |
j |
415292/289 |
j-invariant |
L |
6.2538222665738 |
L(r)(E,1)/r! |
Ω |
0.36209189646557 |
Real period |
R |
8.6356838258798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
136a2 |
Quadratic twists by: -23 |