Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
4544h |
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] |
j |
162771336/71 |
j-invariant |
L |
5.0953110977325 |
L(r)(E,1)/r! |
Ω |
2.5476555488663 |
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 |
4544d1 2272d1 40896q1 113600bm1 |
Quadratic twists by: -4 8 -3 5 |