Atkin-Lehner |
3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21285h |
Isogeny class |
Conductor |
21285 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
208614285 = 36 · 5 · 113 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11+ -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-372,-2673] |
[a1,a2,a3,a4,a6] |
j |
7809531904/286165 |
j-invariant |
L |
1.0895360511851 |
L(r)(E,1)/r! |
Ω |
1.0895360511852 |
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 |
2365b1 106425h1 |
Quadratic twists by: -3 5 |