Atkin-Lehner |
2+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22264a |
Isogeny class |
Conductor |
22264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
62695424 = 211 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -3 3 11+ -3 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392,-2836] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:44:27] |
Generators of the group modulo torsion |
j |
2450086/23 |
j-invariant |
L |
6.521831991918 |
L(r)(E,1)/r! |
Ω |
1.0733264547896 |
Real period |
R |
3.0381399632959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44528b1 22264c1 |
Quadratic twists by: -4 -11 |