Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10285a |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-984690745500055 = -1 · 5 · 119 · 174 |
Discriminant |
Eigenvalues |
-1 2 5+ 0 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-128081,-17760962] |
[a1,a2,a3,a4,a6] |
Generators |
[2513455205398703934:144547502129877751268:738591661928457] |
Generators of the group modulo torsion |
j |
-98547108659/417605 |
j-invariant |
L |
3.5551865832715 |
L(r)(E,1)/r! |
Ω |
0.1261502851377 |
Real period |
R |
28.182152576119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565bl1 51425d1 10285b1 |
Quadratic twists by: -3 5 -11 |