Atkin-Lehner |
2+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782t |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
50262704128 = 218 · 73 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1276,14160] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:180:1] |
Generators of the group modulo torsion |
j |
670151588751/146538496 |
j-invariant |
L |
4.0784581620016 |
L(r)(E,1)/r! |
Ω |
1.0633588781543 |
Real period |
R |
3.8354484508232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54782h1 |
Quadratic twists by: -7 |