Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ds |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-7551937079672832 = -1 · 224 · 312 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44340,2136976] |
[a1,a2,a3,a4,a6] |
j |
50447927375/39517632 |
j-invariant |
L |
1.0725524704353 |
L(r)(E,1)/r! |
Ω |
0.26813811759931 |
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 |
44352bt1 11088bf1 14784cc1 |
Quadratic twists by: -4 8 -3 |