Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dz |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-147000000 = -1 · 26 · 3 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-821,-8805] |
[a1,a2,a3,a4,a6] |
Generators |
[678:17625:1] |
Generators of the group modulo torsion |
j |
-19539165184/46875 |
j-invariant |
L |
3.6814021583489 |
L(r)(E,1)/r! |
Ω |
0.44583820185524 |
Real period |
R |
4.1286302329212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040cc2 11760cn2 47040go2 |
Quadratic twists by: -4 8 -7 |