Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18060k |
Isogeny class |
Conductor |
18060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11270117250000 = 24 · 34 · 56 · 7 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185141,-30723480] |
[a1,a2,a3,a4,a6] |
Generators |
[1252:41250:1] |
Generators of the group modulo torsion |
j |
43864571444035846144/704382328125 |
j-invariant |
L |
5.6281770078019 |
L(r)(E,1)/r! |
Ω |
0.23015696729136 |
Real period |
R |
4.0756076704506 |
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 |
72240bf3 54180x3 90300a3 126420t3 |
Quadratic twists by: -4 -3 5 -7 |