Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544ds |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-1834556387328 = -1 · 212 · 34 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1584,69012] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:216:1] [-33:294:1] |
Generators of the group modulo torsion |
j |
-912673/3807 |
j-invariant |
L |
12.444045571817 |
L(r)(E,1)/r! |
Ω |
0.72756495676332 |
Real period |
R |
1.0689806331155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6909d1 2256j1 |
Quadratic twists by: -4 -7 |