Atkin-Lehner |
5+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44075f |
Isogeny class |
Conductor |
44075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
-27546875 = -1 · 56 · 41 · 43 |
Discriminant |
Eigenvalues |
-2 -1 5+ 0 -6 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2358,44868] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-13:1] [-9:255:1] |
Generators of the group modulo torsion |
j |
-92836605952/1763 |
j-invariant |
L |
3.6058164182134 |
L(r)(E,1)/r! |
Ω |
1.9385800736469 |
Real period |
R |
0.93001482560137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1763d1 |
Quadratic twists by: 5 |