Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586m |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-75690354727152 = -1 · 24 · 38 · 117 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4878,396292] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:434:1] [-19:554:1] |
Generators of the group modulo torsion |
j |
9938375/58608 |
j-invariant |
L |
7.623885856954 |
L(r)(E,1)/r! |
Ω |
0.44284212205751 |
Real period |
R |
2.1519762566891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862l1 7326g1 |
Quadratic twists by: -3 -11 |