Atkin-Lehner |
2- 5- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bs |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
7019570397184000 = 227 · 53 · 193 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- -2 2 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51648,2035712] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:2624:1] |
Generators of the group modulo torsion |
j |
121891873079272661/56156563177472 |
j-invariant |
L |
11.118689465447 |
L(r)(E,1)/r! |
Ω |
0.37583086700064 |
Real period |
R |
0.54785722739872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950v1 |
Quadratic twists by: 5 |