Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8550i |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1731375000 = -1 · 23 · 36 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3492,-78584] |
[a1,a2,a3,a4,a6] |
Generators |
[3333:29821:27] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
3.5063825589122 |
L(r)(E,1)/r! |
Ω |
0.31051715188501 |
Real period |
R |
5.6460368414861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400ee1 950e1 342a1 |
Quadratic twists by: -4 -3 5 |