Atkin-Lehner |
3- 11+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
29733a |
Isogeny class |
Conductor |
29733 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
20137322102337 = 33 · 11 · 176 · 532 |
Discriminant |
Eigenvalues |
-1 3- 0 0 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15743,727680] |
[a1,a2,a3,a4,a6] |
Generators |
[109:502:1] |
Generators of the group modulo torsion |
j |
431507076808704625/20137322102337 |
j-invariant |
L |
3.926967750674 |
L(r)(E,1)/r! |
Ω |
0.67599255216718 |
Real period |
R |
1.9363959647605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89199h1 |
Quadratic twists by: -3 |