Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528s |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6612480 |
Modular degree for the optimal curve |
Δ |
-1.4129984529781E+21 |
Discriminant |
Eigenvalues |
2- -1 4 2 11- -3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106984126,425958614963] |
[a1,a2,a3,a4,a6] |
j |
-4777554520541237119744/49850049369527 |
j-invariant |
L |
1.922295652904 |
L(r)(E,1)/r! |
Ω |
0.13730683235481 |
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 |
11132b1 4048k1 |
Quadratic twists by: -4 -11 |