Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550br |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.5410946730764E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1689688,-824726719] |
[a1,a2,a3,a4,a6] |
Generators |
[-845:1197:1] |
Generators of the group modulo torsion |
j |
34144696869398652601/986300590768920 |
j-invariant |
L |
7.5583018226662 |
L(r)(E,1)/r! |
Ω |
0.13265229769 |
Real period |
R |
1.5827304318395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ba4 6510k4 |
Quadratic twists by: -3 5 |