Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400dh |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-250560000000 = -1 · 212 · 33 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1200,-18000] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1125:1] |
Generators of the group modulo torsion |
j |
110592/145 |
j-invariant |
L |
5.6166726473842 |
L(r)(E,1)/r! |
Ω |
0.525936809852 |
Real period |
R |
2.6698419625401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6525b1 104400cw1 20880bp1 |
Quadratic twists by: -4 -3 5 |