Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14280bf |
Isogeny class |
Conductor |
14280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-6121150560000 = -1 · 28 · 38 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756,119556] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:350:1] |
Generators of the group modulo torsion |
j |
-186906097744/23910744375 |
j-invariant |
L |
4.3884490257751 |
L(r)(E,1)/r! |
Ω |
0.61893913666682 |
Real period |
R |
0.59085629558132 |
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 |
28560bg1 114240et1 42840bd1 71400bl1 |
Quadratic twists by: -4 8 -3 5 |