Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
1806c |
Isogeny class |
Conductor |
1806 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-4294176768 = -1 · 212 · 34 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-906,10876] |
[a1,a2,a3,a4,a6] |
Generators |
[8:60:1] |
Generators of the group modulo torsion |
j |
-82114348569625/4294176768 |
j-invariant |
L |
2.5203693470188 |
L(r)(E,1)/r! |
Ω |
1.3666188660167 |
Real period |
R |
0.46105929928456 |
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 |
14448r1 57792a1 5418o1 45150cd1 |
Quadratic twists by: -4 8 -3 5 |