Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
6570f |
Isogeny class |
Conductor |
6570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-58272615000 = -1 · 23 · 37 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,810,-7700] |
[a1,a2,a3,a4,a6] |
Generators |
[11:44:1] [15:80:1] |
Generators of the group modulo torsion |
j |
80565593759/79935000 |
j-invariant |
L |
3.5919145446492 |
L(r)(E,1)/r! |
Ω |
0.60578596083907 |
Real period |
R |
2.9646729842294 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560v2 2190m2 32850bz2 |
Quadratic twists by: -4 -3 5 |