Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6018d |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
16848 |
Modular degree for the optimal curve |
Δ |
-549776580552 = -1 · 23 · 39 · 17 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 -6 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3386,-84076] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1483:1] |
Generators of the group modulo torsion |
j |
-4291411730937625/549776580552 |
j-invariant |
L |
3.921842671724 |
L(r)(E,1)/r! |
Ω |
0.3107182423974 |
Real period |
R |
4.2072872210145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48144f1 18054t1 102306d1 |
Quadratic twists by: -4 -3 17 |