Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856n |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1051392 = -1 · 28 · 3 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -4 -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,48] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
-592/3 |
j-invariant |
L |
8.4248599888491 |
L(r)(E,1)/r! |
Ω |
2.3975199807851 |
Real period |
R |
0.87849736982067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65712c1 98568h1 32856g1 |
Quadratic twists by: -4 -3 37 |