Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550s |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
304593750 = 2 · 33 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-830,-8953] |
[a1,a2,a3,a4,a6] |
j |
149721291/722 |
j-invariant |
L |
3.5592373674285 |
L(r)(E,1)/r! |
Ω |
0.88980934185712 |
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 |
68400dl2 8550a2 342e2 |
Quadratic twists by: -4 -3 5 |