Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18612b |
Isogeny class |
Conductor |
18612 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
1790995536 = 24 · 39 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324,945] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:55:1] |
Generators of the group modulo torsion |
j |
11943936/5687 |
j-invariant |
L |
5.860089499961 |
L(r)(E,1)/r! |
Ω |
1.3263432765177 |
Real period |
R |
1.4727432944676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74448p1 18612a1 |
Quadratic twists by: -4 -3 |