Atkin-Lehner |
2+ 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330k |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-9351660988800 = -1 · 27 · 314 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5096,-44698] |
[a1,a2,a3,a4,a6] |
Generators |
[16:194:1] |
Generators of the group modulo torsion |
j |
14639777353091591/9351660988800 |
j-invariant |
L |
4.7277916070198 |
L(r)(E,1)/r! |
Ω |
0.4178634767156 |
Real period |
R |
0.40407862773235 |
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 |
54990bu1 91650ch1 |
Quadratic twists by: -3 5 |