Atkin-Lehner |
5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275h |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
1018325 = 52 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7- 11+ -5 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-148,644] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] |
Generators of the group modulo torsion |
j |
14437765120/40733 |
j-invariant |
L |
1.7511528834484 |
L(r)(E,1)/r! |
Ω |
2.782184380966 |
Real period |
R |
0.3147082730073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275m1 |
Quadratic twists by: 5 |