Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040dm |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
2090880000000 = 213 · 33 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6200,172500] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:600:1] |
Generators of the group modulo torsion |
j |
53189206081/4218750 |
j-invariant |
L |
7.9613345450213 |
L(r)(E,1)/r! |
Ω |
0.80721683327096 |
Real period |
R |
0.11741305222611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3630f1 116160fo1 87120el1 29040do1 |
Quadratic twists by: -4 8 -3 -11 |