Atkin-Lehner |
5+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275b |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-2444998325 = -1 · 52 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 11+ 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2818,-57863] |
[a1,a2,a3,a4,a6] |
Generators |
[2217:12818:27] |
Generators of the group modulo torsion |
j |
-98995693389385/97799933 |
j-invariant |
L |
3.5090521747855 |
L(r)(E,1)/r! |
Ω |
0.3276104771786 |
Real period |
R |
5.3555249591046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275q1 |
Quadratic twists by: 5 |