Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018o |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9075750161526816768 = -1 · 230 · 310 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1063377,446525149] |
[a1,a2,a3,a4,a6] |
j |
-182414014585448388625/12449588698939392 |
j-invariant |
L |
0.90892073204282 |
L(r)(E,1)/r! |
Ω |
0.22723018301071 |
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 |
6006u1 126126cx1 |
Quadratic twists by: -3 -7 |