Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10440z |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
8456400 = 24 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102,-371] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] |
Generators of the group modulo torsion |
j |
10061824/725 |
j-invariant |
L |
4.6142375476645 |
L(r)(E,1)/r! |
Ω |
1.5091038188353 |
Real period |
R |
1.5288005669569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880w1 83520s1 1160b1 52200o1 |
Quadratic twists by: -4 8 -3 5 |