Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810w |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-3603184265134080 = -1 · 216 · 314 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60053,-6343059] |
[a1,a2,a3,a4,a6] |
j |
-32854399024748041/4942639595520 |
j-invariant |
L |
4.8394256437697 |
L(r)(E,1)/r! |
Ω |
0.1512320513678 |
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 |
6270b1 94050bd1 |
Quadratic twists by: -3 5 |