Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128bf |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
546 |
Product of Tamagawa factors cp |
deg |
111121920 |
Modular degree for the optimal curve |
Δ |
2.4772757527738E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30279367293,-2028011746130073] |
[a1,a2,a3,a4,a6] |
Generators |
[-803766:15399:8] |
Generators of the group modulo torsion |
j |
11992897861834752410479177034752000/96768584092724871994893 |
j-invariant |
L |
8.773066206436 |
L(r)(E,1)/r! |
Ω |
0.011444922492202 |
Real period |
R |
1.4039314671821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532d1 |
Quadratic twists by: -4 |