Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bm |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1802322630108 = -1 · 22 · 312 · 72 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2110,-53251] |
[a1,a2,a3,a4,a6] |
Generators |
[318:2267:8] |
Generators of the group modulo torsion |
j |
1425727406375/2472321852 |
j-invariant |
L |
8.0530109410322 |
L(r)(E,1)/r! |
Ω |
0.43910191172361 |
Real period |
R |
4.5849327491093 |
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 |
6006r1 126126er1 |
Quadratic twists by: -3 -7 |