Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15960c |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
465519644100000000 = 28 · 36 · 58 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2106076,1175251424] |
[a1,a2,a3,a4,a6] |
j |
4035581015842667567824/1818436109765625 |
j-invariant |
L |
1.7487759844325 |
L(r)(E,1)/r! |
Ω |
0.29146266407208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31920e2 127680z2 47880bj2 79800bc2 |
Quadratic twists by: -4 8 -3 5 |