Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7488bu |
Isogeny class |
Conductor |
7488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
87340032 = 210 · 38 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1416,20504] |
[a1,a2,a3,a4,a6] |
Generators |
[25:27:1] |
Generators of the group modulo torsion |
j |
420616192/117 |
j-invariant |
L |
3.0711362569142 |
L(r)(E,1)/r! |
Ω |
1.8697775266477 |
Real period |
R |
0.82125713170283 |
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 |
7488s1 1872h1 2496s1 97344fg1 |
Quadratic twists by: -4 8 -3 13 |