Atkin-Lehner |
2+ 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6018d |
Isogeny class |
Conductor |
6018 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-4007121408 = -1 · 29 · 33 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 -6 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-282161,-57712444] |
[a1,a2,a3,a4,a6] |
Generators |
[7985250:419039783:2744] |
Generators of the group modulo torsion |
j |
-2484348152376614127625/4007121408 |
j-invariant |
L |
3.921842671724 |
L(r)(E,1)/r! |
Ω |
0.1035727474658 |
Real period |
R |
12.621861663043 |
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 |
48144f2 18054t2 102306d2 |
Quadratic twists by: -4 -3 17 |