Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18050t |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-252099763889843750 = -1 · 2 · 58 · 199 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25089688,48369576742] |
[a1,a2,a3,a4,a6] |
Generators |
[5333916:29055917:1728] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
9.0892411337046 |
L(r)(E,1)/r! |
Ω |
0.24326788113512 |
Real period |
R |
4.6703869676984 |
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 |
3610e2 950b2 |
Quadratic twists by: 5 -19 |