Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14016t |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
217976832 = 212 · 36 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -6 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169,407] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:24:1] [-7:36:1] |
Generators of the group modulo torsion |
j |
131096512/53217 |
j-invariant |
L |
6.6160289078565 |
L(r)(E,1)/r! |
Ω |
1.6081912968945 |
Real period |
R |
0.68565940306477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14016f1 7008b1 42048j1 |
Quadratic twists by: -4 8 -3 |