Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400fy |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-432967680000 = -1 · 215 · 36 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,-15550] |
[a1,a2,a3,a4,a6] |
Generators |
[49:432:1] |
Generators of the group modulo torsion |
j |
304175/232 |
j-invariant |
L |
5.5654239648821 |
L(r)(E,1)/r! |
Ω |
0.52567887438982 |
Real period |
R |
1.323389676622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13050s1 11600bb1 104400ep1 |
Quadratic twists by: -4 -3 5 |