Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472j |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1562357808 = -1 · 24 · 39 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,270,837] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:17:1] |
Generators of the group modulo torsion |
j |
6912000/4961 |
j-invariant |
L |
4.8135812046673 |
L(r)(E,1)/r! |
Ω |
0.95584757132317 |
Real period |
R |
2.5179648665131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64944f1 32472d1 |
Quadratic twists by: -4 -3 |