Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286bd |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
878592 |
Modular degree for the optimal curve |
Δ |
-83731943495596176 = -1 · 24 · 38 · 118 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 11- -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1267417,548844407] |
[a1,a2,a3,a4,a6] |
Generators |
[413:-10008:1] |
Generators of the group modulo torsion |
j |
-1050366438090673/390615696 |
j-invariant |
L |
5.5976468599706 |
L(r)(E,1)/r! |
Ω |
0.33526427215728 |
Real period |
R |
0.3478379672424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286k1 |
Quadratic twists by: -11 |