Atkin-Lehner |
3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21285c |
Isogeny class |
Conductor |
21285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-302377852921815 = -1 · 38 · 5 · 118 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43560,-3587045] |
[a1,a2,a3,a4,a6] |
j |
-12539072261612161/414784434735 |
j-invariant |
L |
2.9684187037144 |
L(r)(E,1)/r! |
Ω |
0.16491215020635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7095c1 106425j1 |
Quadratic twists by: -3 5 |