Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
8442b |
Isogeny class |
Conductor |
8442 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1367604 = 22 · 36 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 6 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3162591,2165565321] |
[a1,a2,a3,a4,a6] |
j |
4798719371068773390577/1876 |
j-invariant |
L |
1.5274207157655 |
L(r)(E,1)/r! |
Ω |
0.76371035788276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67536bn3 938d3 59094bc3 |
Quadratic twists by: -4 -3 -7 |