Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112cd |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-16003008 = -1 · 26 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21,-196] |
[a1,a2,a3,a4,a6] |
j |
-64 |
j-invariant |
L |
1.8907927573804 |
L(r)(E,1)/r! |
Ω |
0.94539637869018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14112ba1 28224ca1 1568d1 14112cb1 |
Quadratic twists by: -4 8 -3 -7 |