Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400cy |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
258940800000000 = 213 · 37 · 58 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 -5 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-763208,256377588] |
[a1,a2,a3,a4,a6] |
Generators |
[358:-5400:1] [-492:22650:1] |
Generators of the group modulo torsion |
j |
30727911305065/161838 |
j-invariant |
L |
10.381790988856 |
L(r)(E,1)/r! |
Ω |
0.49003128811786 |
Real period |
R |
0.25221399707359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550f1 44400be1 |
Quadratic twists by: -4 5 |