Atkin-Lehner |
2+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23698b |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24015356433041408 = 211 · 178 · 412 |
Discriminant |
Eigenvalues |
2+ 0 0 0 0 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3160847,2163761645] |
[a1,a2,a3,a4,a6] |
j |
144690722229371625/994936832 |
j-invariant |
L |
0.67740044102271 |
L(r)(E,1)/r! |
Ω |
0.33870022051137 |
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 |
1394a2 |
Quadratic twists by: 17 |