Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38304g |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4813137842688 = -1 · 29 · 312 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3165,80278] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:266:1] [53:630:1] |
Generators of the group modulo torsion |
j |
9393931000/12895281 |
j-invariant |
L |
8.7841432362587 |
L(r)(E,1)/r! |
Ω |
0.5201601252318 |
Real period |
R |
2.1109228702277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304bn2 76608bo2 12768t2 |
Quadratic twists by: -4 8 -3 |