Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400fn |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45201825792000 = 216 · 38 · 53 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-553395,158452850] |
[a1,a2,a3,a4,a6] |
Generators |
[-695:14400:1] [169:8352:1] |
Generators of the group modulo torsion |
j |
50214820613957/121104 |
j-invariant |
L |
11.871588369806 |
L(r)(E,1)/r! |
Ω |
0.55279820359102 |
Real period |
R |
2.6844308402335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13050r2 34800cq2 104400fs2 |
Quadratic twists by: -4 -3 5 |