Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bg |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-1343570520085364736 = -1 · 221 · 317 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11+ 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236307,71168978] |
[a1,a2,a3,a4,a6] |
j |
-488726621230609/449959048704 |
j-invariant |
L |
3.9585564128231 |
L(r)(E,1)/r! |
Ω |
0.24740977618353 |
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 |
8118h1 21648t1 |
Quadratic twists by: -4 -3 |