Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bh |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
299040768 = 216 · 33 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204,-752] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] |
Generators of the group modulo torsion |
j |
530604/169 |
j-invariant |
L |
4.3441714914958 |
L(r)(E,1)/r! |
Ω |
1.2950333601161 |
Real period |
R |
0.83862154159227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7488e2 1872b2 7488bj2 97344dx2 |
Quadratic twists by: -4 8 -3 13 |