Atkin-Lehner |
2- 7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
81872q |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-4336727324289584 = -1 · 24 · 74 · 175 · 433 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 0 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40539,-424616] |
[a1,a2,a3,a4,a6] |
Generators |
[650:14749:8] |
Generators of the group modulo torsion |
j |
460481419333861376/271045457768099 |
j-invariant |
L |
3.7399816453735 |
L(r)(E,1)/r! |
Ω |
0.25653863798798 |
Real period |
R |
2.4297715116885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20468e1 |
Quadratic twists by: -4 |