Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640w |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
339456 |
Modular degree for the optimal curve |
Δ |
-2305926750528000 = -1 · 29 · 319 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-541227,153273346] |
[a1,a2,a3,a4,a6] |
j |
-46974761601263432/6178001625 |
j-invariant |
L |
2.6631376865628 |
L(r)(E,1)/r! |
Ω |
0.44385628112012 |
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 |
44640bo1 89280bp1 14880n1 |
Quadratic twists by: -4 8 -3 |