Atkin-Lehner |
2+ 3+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6018a |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1733184 = 26 · 33 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-561,-5355] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1030:1] |
Generators of the group modulo torsion |
j |
19580389825177/1733184 |
j-invariant |
L |
2.3521424691795 |
L(r)(E,1)/r! |
Ω |
0.98075468828004 |
Real period |
R |
4.796596941697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48144p1 18054w1 102306g1 |
Quadratic twists by: -4 -3 17 |