Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040cb |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-69625856880 = -1 · 24 · 311 · 5 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,12427] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-153:1] |
Generators of the group modulo torsion |
j |
87808/1215 |
j-invariant |
L |
5.8510235140175 |
L(r)(E,1)/r! |
Ω |
0.81243030877672 |
Real period |
R |
0.90023468006005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680y1 104040cp1 |
Quadratic twists by: -3 17 |