Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
78384g |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8192068608 = 210 · 3 · 232 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,-3996] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:1196:27] |
Generators of the group modulo torsion |
j |
24313562500/8000067 |
j-invariant |
L |
7.4932175601291 |
L(r)(E,1)/r! |
Ω |
0.98660604155806 |
Real period |
R |
3.7974719609398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192f2 |
Quadratic twists by: -4 |