Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
86580l |
Isogeny class |
Conductor |
86580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
833238522604800 = 28 · 36 · 52 · 136 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30072,-1449164] |
[a1,a2,a3,a4,a6] |
j |
16115476701184/4464798325 |
j-invariant |
L |
4.4414109208387 |
L(r)(E,1)/r! |
Ω |
0.37011758033519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9620b1 |
Quadratic twists by: -3 |