Atkin-Lehner |
2- 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20292a |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
81168 = 24 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,33] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] [2:1:1] |
Generators of the group modulo torsion |
j |
42592000/5073 |
j-invariant |
L |
5.9237703229873 |
L(r)(E,1)/r! |
Ω |
3.3081085740536 |
Real period |
R |
0.59689398442052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168cj1 60876l1 |
Quadratic twists by: -4 -3 |