Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3060b |
Isogeny class |
Conductor |
3060 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-26768880 = -1 · 24 · 39 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 0 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
6912/85 |
j-invariant |
L |
3.1167026048658 |
L(r)(E,1)/r! |
Ω |
1.0369511442894 |
Real period |
R |
0.50094012336547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12240bc1 48960v1 3060d1 15300a1 |
Quadratic twists by: -4 8 -3 5 |