Atkin-Lehner |
2+ 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240i |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-994623530076288000 = -1 · 210 · 36 · 53 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-926520,-346294368] |
[a1,a2,a3,a4,a6] |
j |
-85899101217634141924/971312041090125 |
j-invariant |
L |
0.92266597628007 |
L(r)(E,1)/r! |
Ω |
0.076888830892009 |
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 |
36120r2 |
Quadratic twists by: -4 |