Atkin-Lehner |
2- 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7488bj |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
218000719872 = 216 · 39 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,20304] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:208:1] |
Generators of the group modulo torsion |
j |
530604/169 |
j-invariant |
L |
3.5246148768436 |
L(r)(E,1)/r! |
Ω |
0.92144479146208 |
Real period |
R |
0.95627402463555 |
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 |
7488g2 1872a2 7488bh2 97344dv2 |
Quadratic twists by: -4 8 -3 13 |