Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400ba |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
132131250000 = 24 · 36 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2550,46375] |
[a1,a2,a3,a4,a6] |
Generators |
[755:20700:1] |
Generators of the group modulo torsion |
j |
10061824/725 |
j-invariant |
L |
8.0014319768054 |
L(r)(E,1)/r! |
Ω |
1.0184663069031 |
Real period |
R |
3.9281770651641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200o1 11600f1 20880w1 |
Quadratic twists by: -4 -3 5 |