Atkin-Lehner |
2- 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6018h |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9631412053075062 = 2 · 324 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188848,-31311397] |
[a1,a2,a3,a4,a6] |
Generators |
[10350447841791226:-88557768560926215:19504210092632] |
Generators of the group modulo torsion |
j |
744836627802494202625/9631412053075062 |
j-invariant |
L |
4.6917959838324 |
L(r)(E,1)/r! |
Ω |
0.22919819175372 |
Real period |
R |
20.470475564981 |
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 |
48144q2 18054c2 102306r2 |
Quadratic twists by: -4 -3 17 |