Atkin-Lehner |
5- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275m |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
15911328125 = 58 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2 2 5- 7+ 11+ 5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3708,87943] |
[a1,a2,a3,a4,a6] |
j |
14437765120/40733 |
j-invariant |
L |
7.4653840821757 |
L(r)(E,1)/r! |
Ω |
1.2442306803556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275h1 |
Quadratic twists by: 5 |