Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330er |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-11536418439000 = -1 · 23 · 37 · 53 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5503,-46231] |
[a1,a2,a3,a4,a6] |
Generators |
[9:58:1] |
Generators of the group modulo torsion |
j |
10531168151/6591000 |
j-invariant |
L |
10.920469974362 |
L(r)(E,1)/r! |
Ω |
0.41242617294941 |
Real period |
R |
1.4710336446866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999926 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19110s2 57330dr2 |
Quadratic twists by: -3 -7 |