Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
3984g |
Isogeny class |
Conductor |
3984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-1019904 = -1 · 212 · 3 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 4 3 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,-12] |
[a1,a2,a3,a4,a6] |
j |
357911/249 |
j-invariant |
L |
3.1329259027923 |
L(r)(E,1)/r! |
Ω |
1.5664629513961 |
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 |
249b1 15936o1 11952l1 99600bs1 |
Quadratic twists by: -4 8 -3 5 |