Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850w |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9234810750 = -1 · 2 · 3 · 53 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-205,4675] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-65:1] |
Generators of the group modulo torsion |
j |
-7680354317/73878486 |
j-invariant |
L |
3.8501221972917 |
L(r)(E,1)/r! |
Ω |
1.1076166103659 |
Real period |
R |
0.86901057668516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47850dc2 |
Quadratic twists by: 5 |