Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050g |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
648000 |
Modular degree for the optimal curve |
Δ |
3334782433952563200 = 215 · 36 · 52 · 895 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-508752,108702976] |
[a1,a2,a3,a4,a6] |
j |
799052001908021545/182978460024832 |
j-invariant |
L |
0.236533714803 |
L(r)(E,1)/r! |
Ω |
0.23653371488528 |
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 |
4450k1 40050bj2 |
Quadratic twists by: -3 5 |