Atkin-Lehner |
2- 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
16590bc |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
3424813056000 = 218 · 33 · 53 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4360,65600] |
[a1,a2,a3,a4,a6] |
j |
9166201613735041/3424813056000 |
j-invariant |
L |
6.5159931165715 |
L(r)(E,1)/r! |
Ω |
0.72399923517461 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
49770s1 82950c1 116130cl1 |
Quadratic twists by: -3 5 -7 |