Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bf |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-4924064076000000 = -1 · 28 · 3 · 56 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -5 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38533,-4470937] |
[a1,a2,a3,a4,a6] |
Generators |
[10803:179758:27] |
Generators of the group modulo torsion |
j |
-65536/51 |
j-invariant |
L |
7.9030324731867 |
L(r)(E,1)/r! |
Ω |
0.16484909080972 |
Real period |
R |
3.9950844514849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3468a1 5100b1 |
Quadratic twists by: 5 17 |