Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18850r |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
-10601843200 = -1 · 29 · 52 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98,-5009] |
[a1,a2,a3,a4,a6] |
Generators |
[101:963:1] |
Generators of the group modulo torsion |
j |
-4166188105/424073728 |
j-invariant |
L |
11.056904079072 |
L(r)(E,1)/r! |
Ω |
0.5678633849078 |
Real period |
R |
1.0817257551076 |
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 |
18850l1 |
Quadratic twists by: 5 |