Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hh |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
404787855360 = 215 · 3 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-219585,-39678465] |
[a1,a2,a3,a4,a6] |
Generators |
[37412:362349:64] |
Generators of the group modulo torsion |
j |
303735479048/105 |
j-invariant |
L |
8.4020940166243 |
L(r)(E,1)/r! |
Ω |
0.22054576941593 |
Real period |
R |
9.5242067427677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fi4 23520bg4 6720bj3 |
Quadratic twists by: -4 8 -7 |