Atkin-Lehner |
2+ 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018a |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
39973365432 = 23 · 33 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1428,-18056] |
[a1,a2,a3,a4,a6] |
j |
11932065561051/1480495016 |
j-invariant |
L |
1.5658685039825 |
L(r)(E,1)/r! |
Ω |
0.78293425199125 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18018u2 126126ba2 |
Quadratic twists by: -3 -7 |