Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bo |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
885271039672320 = 215 · 38 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78465,-8311743] |
[a1,a2,a3,a4,a6] |
Generators |
[607:12936:1] |
Generators of the group modulo torsion |
j |
13858588808/229635 |
j-invariant |
L |
4.5739217907971 |
L(r)(E,1)/r! |
Ω |
0.28553968253698 |
Real period |
R |
4.0046288401611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dk3 23520bq3 6720v4 |
Quadratic twists by: -4 8 -7 |