Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850f |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
269411062500 = 22 · 310 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,-9284] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:59:1] [-31:128:1] |
Generators of the group modulo torsion |
j |
47045881/23652 |
j-invariant |
L |
6.4188962035434 |
L(r)(E,1)/r! |
Ω |
0.78457407475132 |
Real period |
R |
2.0453442224619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950q1 1314g1 |
Quadratic twists by: -3 5 |