Atkin-Lehner |
3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14007i |
Isogeny class |
Conductor |
14007 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
795648 |
Modular degree for the optimal curve |
Δ |
-3.8775569478681E+22 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 4 3 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6845403,-11718941488] |
[a1,a2,a3,a4,a6] |
Generators |
[9684:911179:1] |
Generators of the group modulo torsion |
j |
-35474872080668270841856000/38775569478680938567923 |
j-invariant |
L |
4.8506683271445 |
L(r)(E,1)/r! |
Ω |
0.044744572354452 |
Real period |
R |
1.9358566349516 |
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 |
42021e1 98049h1 |
Quadratic twists by: -3 -7 |