Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10890bm |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-110012407471296000 = -1 · 29 · 36 · 53 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-212378,40965081] |
[a1,a2,a3,a4,a6] |
Generators |
[333:2495:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
7.0684117103267 |
L(r)(E,1)/r! |
Ω |
0.32532328370279 |
Real period |
R |
1.2070748056919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120dw1 1210d1 54450bk1 10890k1 |
Quadratic twists by: -4 -3 5 -11 |