Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bh |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
34949352552136704 = 230 · 38 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109371,10626410] |
[a1,a2,a3,a4,a6] |
j |
48455467135993/11704467456 |
j-invariant |
L |
1.3796149561124 |
L(r)(E,1)/r! |
Ω |
0.34490373914855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8118s1 21648u1 |
Quadratic twists by: -4 -3 |