Atkin-Lehner |
2- 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10166d |
Isogeny class |
Conductor |
10166 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-38193662 = -1 · 2 · 132 · 173 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 5 -6 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-267,-1817] |
[a1,a2,a3,a4,a6] |
j |
-2105518942513/38193662 |
j-invariant |
L |
3.5392983846299 |
L(r)(E,1)/r! |
Ω |
0.58988306410498 |
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 |
81328k1 91494g1 |
Quadratic twists by: -4 -3 |