Atkin-Lehner |
2- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19550bl |
Isogeny class |
Conductor |
19550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
265880000 = 26 · 54 · 172 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -3 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,592] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] [-8:44:1] |
Generators of the group modulo torsion |
j |
1176147025/425408 |
j-invariant |
L |
7.2075596955811 |
L(r)(E,1)/r! |
Ω |
1.5971460898255 |
Real period |
R |
0.12535483937215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19550h1 |
Quadratic twists by: 5 |