Atkin-Lehner |
2+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4544d |
Isogeny class |
Conductor |
4544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
2326528 = 215 · 71 |
Discriminant |
Eigenvalues |
2+ -3 2 -1 2 7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,-2672] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:1:1] |
Generators of the group modulo torsion |
j |
162771336/71 |
j-invariant |
L |
2.6729043463016 |
L(r)(E,1)/r! |
Ω |
1.0930387989667 |
Real period |
R |
1.2226941755537 |
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 |
4544h1 2272b1 40896z1 113600q1 |
Quadratic twists by: -4 8 -3 5 |