Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664bw |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3842436528 = -1 · 24 · 310 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,-2977] |
[a1,a2,a3,a4,a6] |
j |
2048000/329427 |
j-invariant |
L |
1.3183384301382 |
L(r)(E,1)/r! |
Ω |
0.65916921063547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20916g1 27888bb1 |
Quadratic twists by: -4 -3 |