Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792cg |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-310689792 = -1 · 214 · 32 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8533,306253] |
[a1,a2,a3,a4,a6] |
Generators |
[52:21:1] |
Generators of the group modulo torsion |
j |
-4194304000000/18963 |
j-invariant |
L |
5.0339474971848 |
L(r)(E,1)/r! |
Ω |
1.5190397361856 |
Real period |
R |
0.82847528232094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bh1 14448bd1 |
Quadratic twists by: -4 8 |