Atkin-Lehner |
2- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22264c |
Isogeny class |
Conductor |
22264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80256 |
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 |
1.1917514402911 |
L(r)(E,1)/r! |
Ω |
0.59587572014555 |
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 |
44528a1 22264a1 |
Quadratic twists by: -4 -11 |