Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112ch |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-16003008 = -1 · 26 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] [7:28:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.5320954840579 |
L(r)(E,1)/r! |
Ω |
1.3162005887018 |
Real period |
R |
2.10153966331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14112ch1 28224gk2 1568a1 14112cg1 |
Quadratic twists by: -4 8 -3 -7 |