Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bg |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1632000 |
Modular degree for the optimal curve |
Δ |
-3648636166852800000 = -1 · 29 · 39 · 55 · 415 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 0 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1709883,865485918] |
[a1,a2,a3,a4,a6] |
Generators |
[753:-2214:1] |
Generators of the group modulo torsion |
j |
-54860737570622424/362050628125 |
j-invariant |
L |
4.0946843227439 |
L(r)(E,1)/r! |
Ω |
0.25065221110578 |
Real period |
R |
0.81680594494544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040bf1 118080dt1 59040c1 |
Quadratic twists by: -4 8 -3 |