Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1806k |
Isogeny class |
Conductor |
1806 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
5799542784 = 217 · 3 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5887,171365] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:450:1] |
Generators of the group modulo torsion |
j |
22563705894034033/5799542784 |
j-invariant |
L |
3.2455369237365 |
L(r)(E,1)/r! |
Ω |
1.3162828408812 |
Real period |
R |
0.048346735914442 |
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 |
14448y1 57792bv1 5418h1 45150y1 |
Quadratic twists by: -4 8 -3 5 |