Atkin-Lehner |
5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10285k |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
33264 |
Modular degree for the optimal curve |
Δ |
284695388828125 = 57 · 118 · 17 |
Discriminant |
Eigenvalues |
0 -1 5- 4 11- 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-118015,-15544244] |
[a1,a2,a3,a4,a6] |
j |
848003301376/1328125 |
j-invariant |
L |
1.8032412638381 |
L(r)(E,1)/r! |
Ω |
0.25760589483402 |
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 |
92565z1 51425e1 10285i1 |
Quadratic twists by: -3 5 -11 |