Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10440u |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1972708992000 = 210 · 312 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11523,471278] |
[a1,a2,a3,a4,a6] |
j |
226669409284/2642625 |
j-invariant |
L |
1.6660513365304 |
L(r)(E,1)/r! |
Ω |
0.83302566826522 |
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 |
20880p1 83520cb1 3480a1 52200v1 |
Quadratic twists by: -4 8 -3 5 |