Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050w |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-393707520000 = -1 · 218 · 33 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3455,84647] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:406:1] |
Generators of the group modulo torsion |
j |
-270212998275/23330816 |
j-invariant |
L |
9.6069818713477 |
L(r)(E,1)/r! |
Ω |
0.92885429457751 |
Real period |
R |
0.86190248275323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40050d2 40050a1 |
Quadratic twists by: -3 5 |