Atkin-Lehner |
3+ 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18291c |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
217790937 = 36 · 73 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6215,185996] |
[a1,a2,a3,a4,a6] |
Generators |
[18:274:1] |
Generators of the group modulo torsion |
j |
26549202403730161/217790937 |
j-invariant |
L |
1.9233016671742 |
L(r)(E,1)/r! |
Ω |
1.5933425837965 |
Real period |
R |
0.8047240590246 |
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 |
54873o1 128037m1 |
Quadratic twists by: -3 -7 |