Atkin-Lehner |
2- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650s |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-209855000000000 = -1 · 29 · 510 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -2 -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5787,-675583] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1119:1] |
Generators of the group modulo torsion |
j |
1371700960631/13430720000 |
j-invariant |
L |
10.340051405722 |
L(r)(E,1)/r! |
Ω |
0.27770497434813 |
Real period |
R |
1.0342762164522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8930a1 |
Quadratic twists by: 5 |