Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10850bb |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
834148000 = 25 · 53 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 3 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1110,-13883] |
[a1,a2,a3,a4,a6] |
j |
1208970715077/6673184 |
j-invariant |
L |
8.2745372903377 |
L(r)(E,1)/r! |
Ω |
0.82745372903377 |
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 |
86800cm1 97650cd1 10850o1 75950do1 |
Quadratic twists by: -4 -3 5 -7 |