Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960bl |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
3194880 |
Modular degree for the optimal curve |
Δ |
-2.245819365E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 -1 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1445772,-2376208064] |
[a1,a2,a3,a4,a6] |
j |
-111927206479657024/752120361328125 |
j-invariant |
L |
3.1834481060155 |
L(r)(E,1)/r! |
Ω |
0.06122015510531 |
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 |
84960bq1 28320m1 |
Quadratic twists by: -4 -3 |