Atkin-Lehner |
2- 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280di |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
17530512998400 = 226 · 35 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12225,-483777] |
[a1,a2,a3,a4,a6] |
j |
770842973809/66873600 |
j-invariant |
L |
4.5654174593824 |
L(r)(E,1)/r! |
Ω |
0.45654174594072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280x1 10320r1 123840ev1 |
Quadratic twists by: -4 8 -3 |