Atkin-Lehner |
5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18425d |
Isogeny class |
Conductor |
18425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29472 |
Modular degree for the optimal curve |
Δ |
-359051125675 = -1 · 52 · 118 · 67 |
Discriminant |
Eigenvalues |
0 -2 5+ 2 11- 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24183,-1455861] |
[a1,a2,a3,a4,a6] |
j |
-62565106708480000/14362045027 |
j-invariant |
L |
1.5313502181186 |
L(r)(E,1)/r! |
Ω |
0.19141877726483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18425j1 |
Quadratic twists by: 5 |