Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370n |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-43826667165000 = -1 · 23 · 36 · 54 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2586,313820] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:517:1] [1:562:1] |
Generators of the group modulo torsion |
j |
2622933472671/60118885000 |
j-invariant |
L |
7.0755046700064 |
L(r)(E,1)/r! |
Ω |
0.48013419086846 |
Real period |
R |
1.8420643656958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930f4 |
Quadratic twists by: -3 |