Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8670g |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
105840 |
Modular degree for the optimal curve |
Δ |
-49318315290000000 = -1 · 27 · 310 · 57 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-279902,-58107276] |
[a1,a2,a3,a4,a6] |
Generators |
[1463:50906:1] |
Generators of the group modulo torsion |
j |
-29036780124540841/590490000000 |
j-invariant |
L |
2.3689635939758 |
L(r)(E,1)/r! |
Ω |
0.10365604679935 |
Real period |
R |
0.54414476372848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360dw1 26010bq1 43350dh1 8670h1 |
Quadratic twists by: -4 -3 5 17 |