Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240cn |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-29047652352000 = -1 · 224 · 36 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1441,-260641] |
[a1,a2,a3,a4,a6] |
j |
-1263214441/110808000 |
j-invariant |
L |
1.7584273913467 |
L(r)(E,1)/r! |
Ω |
0.29307123189112 |
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 |
18240c1 4560r1 54720ez1 91200fv1 |
Quadratic twists by: -4 8 -3 5 |