Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146s |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
81168 = 24 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-107,417] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] |
Generators of the group modulo torsion |
j |
135559106353/81168 |
j-invariant |
L |
8.0045567577763 |
L(r)(E,1)/r! |
Ω |
3.3849504659402 |
Real period |
R |
2.3647485652506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168bt1 30438h1 |
Quadratic twists by: -4 -3 |