Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550w |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
3069603216000000 = 210 · 312 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1231205,526128797] |
[a1,a2,a3,a4,a6] |
Generators |
[339:11980:1] |
Generators of the group modulo torsion |
j |
18120364883707393/269485056 |
j-invariant |
L |
6.5520527387691 |
L(r)(E,1)/r! |
Ω |
0.4111339538467 |
Real period |
R |
0.79682700461322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68400fb2 2850j2 342f2 |
Quadratic twists by: -4 -3 5 |