Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570p |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
20978141400 = 23 · 39 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-947,9019] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:146:1] |
Generators of the group modulo torsion |
j |
4767078987/1065800 |
j-invariant |
L |
6.1903645734625 |
L(r)(E,1)/r! |
Ω |
1.1424612383741 |
Real period |
R |
0.90307434007888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560l2 6570a2 32850a2 |
Quadratic twists by: -4 -3 5 |