Atkin-Lehner |
3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43197k |
Isogeny class |
Conductor |
43197 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1962914877 = -1 · 36 · 7 · 113 · 172 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11+ 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,305,-541] |
[a1,a2,a3,a4,a6] |
j |
2368593037/1474767 |
j-invariant |
L |
5.1064265245234 |
L(r)(E,1)/r! |
Ω |
0.85107108744206 |
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 |
129591h2 43197n2 |
Quadratic twists by: -3 -11 |