Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6018j |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
2000 |
Modular degree for the optimal curve |
Δ |
-7799328 = -1 · 25 · 35 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -2 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,40,96] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] |
Generators of the group modulo torsion |
j |
7066834559/7799328 |
j-invariant |
L |
5.4101416342191 |
L(r)(E,1)/r! |
Ω |
1.554748554309 |
Real period |
R |
0.13919013770361 |
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 |
48144h1 18054l1 102306o1 |
Quadratic twists by: -4 -3 17 |