Atkin-Lehner |
2+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942b |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-56370074912 = -1 · 25 · 192 · 474 |
Discriminant |
Eigenvalues |
2+ 1 2 4 4 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3360,75534] |
[a1,a2,a3,a4,a6] |
j |
-859338553/11552 |
j-invariant |
L |
2.2392151657337 |
L(r)(E,1)/r! |
Ω |
1.119607565306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83942g1 |
Quadratic twists by: -47 |