Atkin-Lehner |
2+ 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10074m |
Isogeny class |
Conductor |
10074 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6433296696 = 23 · 38 · 23 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -6 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1105,-13684] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:32:1] |
Generators of the group modulo torsion |
j |
149020304955913/6433296696 |
j-invariant |
L |
4.2816011679714 |
L(r)(E,1)/r! |
Ω |
0.83035359574924 |
Real period |
R |
1.2890897293303 |
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 |
80592l2 30222f2 |
Quadratic twists by: -4 -3 |