Atkin-Lehner |
2+ 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8322c |
Isogeny class |
Conductor |
8322 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
103883526 = 2 · 33 · 192 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-103970,-12912154] |
[a1,a2,a3,a4,a6] |
j |
124291617378138784153/103883526 |
j-invariant |
L |
3.1904672439082 |
L(r)(E,1)/r! |
Ω |
0.26587227032568 |
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 |
66576r2 24966k2 |
Quadratic twists by: -4 -3 |