Atkin-Lehner |
2+ 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650be |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1405440 |
Modular degree for the optimal curve |
Δ |
59776101562500 = 22 · 35 · 59 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-363251,84235898] |
[a1,a2,a3,a4,a6] |
Generators |
[342:16:1] |
Generators of the group modulo torsion |
j |
339252005052537121/3825670500 |
j-invariant |
L |
4.8512432384403 |
L(r)(E,1)/r! |
Ω |
0.56641096258806 |
Real period |
R |
0.42824411881676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999324023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530bb1 |
Quadratic twists by: 5 |