Atkin-Lehner |
2- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45100b |
Isogeny class |
Conductor |
45100 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
-13642750000 = -1 · 24 · 56 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,-5638] |
[a1,a2,a3,a4,a6] |
Generators |
[2330:5214:125] |
Generators of the group modulo torsion |
j |
131072/54571 |
j-invariant |
L |
8.9454346973521 |
L(r)(E,1)/r! |
Ω |
0.58845115835876 |
Real period |
R |
5.0672201480616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1804a1 |
Quadratic twists by: 5 |