Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bm |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
3504922135506792 = 23 · 37 · 73 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-390605,94016909] |
[a1,a2,a3,a4,a6] |
Generators |
[-539:12424:1] |
Generators of the group modulo torsion |
j |
9040834853442015625/4807849294248 |
j-invariant |
L |
8.0530109410322 |
L(r)(E,1)/r! |
Ω |
0.43910191172361 |
Real period |
R |
3.0566218327395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6006r4 126126er4 |
Quadratic twists by: -3 -7 |