Atkin-Lehner |
2+ 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
7446a |
Isogeny class |
Conductor |
7446 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-455025092899808484 = -1 · 22 · 32 · 174 · 736 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 -6 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2342014,-1380891800] |
[a1,a2,a3,a4,a6] |
j |
-1420667555684738548240873/455025092899808484 |
j-invariant |
L |
0.73222586355971 |
L(r)(E,1)/r! |
Ω |
0.061018821963309 |
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 |
59568bd2 22338r2 126582q2 |
Quadratic twists by: -4 -3 17 |