Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cl |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1806336000000000 = -1 · 221 · 32 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18079,1824255] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:960:1] |
Generators of the group modulo torsion |
j |
50872947671/140625000 |
j-invariant |
L |
6.9993552183152 |
L(r)(E,1)/r! |
Ω |
0.33002100704297 |
Real period |
R |
2.6511021529506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040el2 1470e2 47040y2 |
Quadratic twists by: -4 8 -7 |