Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
580b |
Isogeny class |
Conductor |
580 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72 |
Modular degree for the optimal curve |
Δ |
1682000 = 24 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
226492416/105125 |
j-invariant |
L |
2.0014236886209 |
L(r)(E,1)/r! |
Ω |
2.098921735476 |
Real period |
R |
0.21189966837552 |
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 |
2320h1 9280b1 5220l1 2900a1 |
Quadratic twists by: -4 8 -3 5 |