Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104907bf |
Isogeny class |
Conductor |
104907 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
12700069234937073 = 33 · 117 · 176 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228027,41539752] |
[a1,a2,a3,a4,a6] |
Generators |
[-537:3303:1] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
7.5624755467012 |
L(r)(E,1)/r! |
Ω |
0.40141493773085 |
Real period |
R |
3.1399244724782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9537j1 363a1 |
Quadratic twists by: -11 17 |