Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112bj |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
69731032896 = 26 · 33 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:90:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.3230628918859 |
L(r)(E,1)/r! |
Ω |
0.92590914216054 |
Real period |
R |
2.8745060662566 |
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 |
14112bj1 28224dv2 14112f1 14112bk1 |
Quadratic twists by: -4 8 -3 -7 |