Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bn |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
5976883200 = 222 · 3 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1985,33183] |
[a1,a2,a3,a4,a6] |
j |
3301293169/22800 |
j-invariant |
L |
2.7052777520686 |
L(r)(E,1)/r! |
Ω |
1.3526388760343 |
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 |
18240cb1 570g1 54720bc1 91200x1 |
Quadratic twists by: -4 8 -3 5 |