Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352z |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-5.9411806064916E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,905676,165743944] |
[a1,a2,a3,a4,a6] |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
0.50262040175091 |
L(r)(E,1)/r! |
Ω |
0.1256551004383 |
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 |
44352ez1 2772h1 14784bb1 |
Quadratic twists by: -4 8 -3 |