Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ed |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-94872153600000000 = -1 · 215 · 32 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,90879,-10442655] |
[a1,a2,a3,a4,a6] |
Generators |
[69092:2346875:64] |
Generators of the group modulo torsion |
j |
21531355768/24609375 |
j-invariant |
L |
4.8643364808215 |
L(r)(E,1)/r! |
Ω |
0.1819914333609 |
Real period |
R |
6.6820954027933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fu3 23520bw2 6720ck4 |
Quadratic twists by: -4 8 -7 |