Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cq |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10929272094720 = 215 · 34 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73761,-7733601] |
[a1,a2,a3,a4,a6] |
Generators |
[10407:124460:27] |
Generators of the group modulo torsion |
j |
11512557512/2835 |
j-invariant |
L |
6.7841882002765 |
L(r)(E,1)/r! |
Ω |
0.28970019185252 |
Real period |
R |
5.8544906001753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040n4 23520bk4 6720n4 |
Quadratic twists by: -4 8 -7 |