Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200bc |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
730000 = 24 · 54 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -6 2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158,-713] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] [17:35:1] |
Generators of the group modulo torsion |
j |
43897600/73 |
j-invariant |
L |
6.4509032620423 |
L(r)(E,1)/r! |
Ω |
1.3460148290181 |
Real period |
R |
1.5975314989037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7300f1 116800cw1 29200k1 |
Quadratic twists by: -4 8 5 |