Atkin-Lehner |
2- 3+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10812b |
Isogeny class |
Conductor |
10812 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-175412059128576 = -1 · 28 · 315 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7923,-579159] |
[a1,a2,a3,a4,a6] |
j |
214831469453312/685203355971 |
j-invariant |
L |
0.58357681735833 |
L(r)(E,1)/r! |
Ω |
0.29178840867916 |
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 |
43248z1 32436l1 |
Quadratic twists by: -4 -3 |