Atkin-Lehner |
2- 3- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59856m |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
575904743424 = 216 · 35 · 292 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2864,45396] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:288:1] |
Generators of the group modulo torsion |
j |
634504103857/140601744 |
j-invariant |
L |
6.6064793473392 |
L(r)(E,1)/r! |
Ω |
0.86725243780362 |
Real period |
R |
0.76177120517081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7482b1 |
Quadratic twists by: -4 |