Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018i |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
501909614414208 = 27 · 316 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71730,-7297452] |
[a1,a2,a3,a4,a6] |
Generators |
[1539:58608:1] |
Generators of the group modulo torsion |
j |
55988918938824481/688490554752 |
j-invariant |
L |
4.7648033847919 |
L(r)(E,1)/r! |
Ω |
0.29194229362096 |
Real period |
R |
4.0802613126845 |
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 |
6006ba2 126126dd2 |
Quadratic twists by: -3 -7 |