Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43320bb |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.6467028480176E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1031136,-234564336] |
[a1,a2,a3,a4,a6] |
Generators |
[3026400:68100876:2197] |
Generators of the group modulo torsion |
j |
366935404/140625 |
j-invariant |
L |
6.8671647356398 |
L(r)(E,1)/r! |
Ω |
0.15474884497457 |
Real period |
R |
11.094048451168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640b2 129960bh2 43320a2 |
Quadratic twists by: -4 -3 -19 |