Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040eh |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
252992409600 = 212 · 3 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5161,-138935] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2940:1] |
Generators of the group modulo torsion |
j |
31554496/525 |
j-invariant |
L |
5.4573062241621 |
L(r)(E,1)/r! |
Ω |
0.56382880808097 |
Real period |
R |
2.419753188358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fz2 23520s1 6720ch2 |
Quadratic twists by: -4 8 -7 |