Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064h |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3713630976 = -1 · 28 · 39 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,2932] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-54:1] |
Generators of the group modulo torsion |
j |
-1024/19899 |
j-invariant |
L |
6.0149038316673 |
L(r)(E,1)/r! |
Ω |
1.1185770249258 |
Real period |
R |
0.33608010990858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106128j1 17688i1 |
Quadratic twists by: -4 -3 |