Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550bc |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-25854875000000 = -1 · 26 · 59 · 17 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1912,-241719] |
[a1,a2,a3,a4,a6] |
Generators |
[75:537:1] |
Generators of the group modulo torsion |
j |
49471280711/1654712000 |
j-invariant |
L |
6.0712042952445 |
L(r)(E,1)/r! |
Ω |
0.32257517630768 |
Real period |
R |
0.52280701102659 |
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 |
3910b2 |
Quadratic twists by: 5 |