Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600fa |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
682344000 = 26 · 38 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1785,-29000] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:4:1] [56:216:1] |
Generators of the group modulo torsion |
j |
107850176/117 |
j-invariant |
L |
9.8821946116544 |
L(r)(E,1)/r! |
Ω |
0.73454479785862 |
Real period |
R |
6.7267473956692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996547 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600ey1 31200ba1 93600cm1 |
Quadratic twists by: -4 -3 5 |