Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18050w |
Isogeny class |
Conductor |
18050 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
27000 |
Modular degree for the optimal curve |
Δ |
-1629012500000 = -1 · 25 · 58 · 194 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -1 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2820,20447] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1365:1] |
Generators of the group modulo torsion |
j |
48735/32 |
j-invariant |
L |
8.3653707147816 |
L(r)(E,1)/r! |
Ω |
0.52791932117549 |
Real period |
R |
0.35213169804283 |
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 |
18050b1 18050l1 |
Quadratic twists by: 5 -19 |