Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bd |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-10359310123008 = -1 · 224 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16812,-853200] |
[a1,a2,a3,a4,a6] |
j |
-2749884201/54208 |
j-invariant |
L |
0.83756269715844 |
L(r)(E,1)/r! |
Ω |
0.20939067425005 |
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 |
44352fd1 1386k1 4928i1 |
Quadratic twists by: -4 8 -3 |