Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086n |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
28044615438864 = 24 · 32 · 417 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15164,665741] |
[a1,a2,a3,a4,a6] |
j |
81182737/5904 |
j-invariant |
L |
1.303100252741 |
L(r)(E,1)/r! |
Ω |
0.65155012637049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80688bd1 30258g1 246e1 |
Quadratic twists by: -4 -3 41 |