Atkin-Lehner |
2+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576a |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
1856512 = 210 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -4 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:3:1] [-2:12:1] |
Generators of the group modulo torsion |
j |
6912000/1813 |
j-invariant |
L |
6.6218950955938 |
L(r)(E,1)/r! |
Ω |
2.4661919289113 |
Real period |
R |
2.685068837492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16576n1 2072a1 116032f1 |
Quadratic twists by: -4 8 -7 |