Atkin-Lehner |
2- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976u |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-5933312 = -1 · 28 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2- -1 4 7+ 11- 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44,-52] |
[a1,a2,a3,a4,a6] |
j |
35969456/23177 |
j-invariant |
L |
2.7402010219799 |
L(r)(E,1)/r! |
Ω |
1.3701005112066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13244c1 |
Quadratic twists by: -4 |