Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29784l |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2870223558912 = 28 · 312 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8004,260640] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:162:1] [-90:510:1] |
Generators of the group modulo torsion |
j |
221543618723152/11211810777 |
j-invariant |
L |
7.9777628823723 |
L(r)(E,1)/r! |
Ω |
0.79395715011306 |
Real period |
R |
1.6746837620558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59568c1 89352j1 |
Quadratic twists by: -4 -3 |