Atkin-Lehner |
2- 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51792g |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5727780864 = -1 · 216 · 34 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,168,-3600] |
[a1,a2,a3,a4,a6] |
j |
127263527/1398384 |
j-invariant |
L |
1.3296241043529 |
L(r)(E,1)/r! |
Ω |
0.66481205159166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6474h1 |
Quadratic twists by: -4 |