Atkin-Lehner |
5+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44075b |
Isogeny class |
Conductor |
44075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-27546875 = -1 · 56 · 41 · 43 |
Discriminant |
Eigenvalues |
-2 1 5+ -3 -2 -6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,42,244] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
512000/1763 |
j-invariant |
L |
1.9542863717914 |
L(r)(E,1)/r! |
Ω |
1.4932029271094 |
Real period |
R |
0.65439410019217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1763c1 |
Quadratic twists by: 5 |