Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600q |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29768000000000 = 212 · 59 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62016633,188000130137] |
[a1,a2,a3,a4,a6] |
j |
412162330287989215936/465125 |
j-invariant |
L |
4.7151640938166 |
L(r)(E,1)/r! |
Ω |
0.29469777051475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600t2 48800k1 19520n2 |
Quadratic twists by: -4 8 5 |