Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18755d |
Isogeny class |
Conductor |
18755 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1392 |
Modular degree for the optimal curve |
Δ |
-18755 = -1 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2 1 5+ 2 11- 1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[1662:4915:216] |
Generators of the group modulo torsion |
j |
45056/155 |
j-invariant |
L |
11.451447013679 |
L(r)(E,1)/r! |
Ω |
1.971245278791 |
Real period |
R |
5.8092451187517 |
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 |
93775j1 18755e1 |
Quadratic twists by: 5 -11 |