Atkin-Lehner |
3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43197n |
Isogeny class |
Conductor |
43197 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3477423442412997 = -1 · 36 · 7 · 119 · 172 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36963,756702] |
[a1,a2,a3,a4,a6] |
j |
2368593037/1474767 |
j-invariant |
L |
1.6532615352588 |
L(r)(E,1)/r! |
Ω |
0.27554358923139 |
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 |
129591r2 43197k2 |
Quadratic twists by: -3 -11 |