Atkin-Lehner |
2- 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616r |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8719070172021522432 = 218 · 33 · 712 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-977089,343857505] |
[a1,a2,a3,a4,a6] |
j |
393537938975182513/33260613144003 |
j-invariant |
L |
1.8100859938008 |
L(r)(E,1)/r! |
Ω |
0.22626083428843 |
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 |
119616o3 29904d3 |
Quadratic twists by: -4 8 |