Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528a |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160512 |
Modular degree for the optimal curve |
Δ |
111068768036864 = 211 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -3 3 11+ 3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47472,-3964556] |
[a1,a2,a3,a4,a6] |
j |
2450086/23 |
j-invariant |
L |
1.294480410192 |
L(r)(E,1)/r! |
Ω |
0.3236201025545 |
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 |
22264c1 44528b1 |
Quadratic twists by: -4 -11 |