Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43316k |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
-6559190208852736 = -1 · 28 · 79 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -2 1 7- 4 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-657645,205092607] |
[a1,a2,a3,a4,a6] |
j |
-3044925104128/634933 |
j-invariant |
L |
1.6418293481034 |
L(r)(E,1)/r! |
Ω |
0.41045733702893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316q1 |
Quadratic twists by: -7 |