Atkin-Lehner |
7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44149d |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
742012243 = 77 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 1 2 7- -5 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5832,-171907] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:23:1] |
Generators of the group modulo torsion |
j |
186463002097/6307 |
j-invariant |
L |
4.3049509358318 |
L(r)(E,1)/r! |
Ω |
0.54631820075133 |
Real period |
R |
1.9699833036469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307e1 |
Quadratic twists by: -7 |