Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550q |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
258784779761718750 = 2 · 320 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-176742,-14750834] |
[a1,a2,a3,a4,a6] |
Generators |
[465:1624:1] |
Generators of the group modulo torsion |
j |
428831641421/181752822 |
j-invariant |
L |
3.1539958065137 |
L(r)(E,1)/r! |
Ω |
0.24185933043861 |
Real period |
R |
6.5203103820595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400gh2 2850v2 8550bk2 |
Quadratic twists by: -4 -3 5 |