Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bw |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.9380568500909E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19243731,31794571730] |
[a1,a2,a3,a4,a6] |
j |
263939304644887918033/6490513177869861 |
j-invariant |
L |
1.4607028385117 |
L(r)(E,1)/r! |
Ω |
0.12172523654466 |
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 |
4221d3 22512o3 |
Quadratic twists by: -4 -3 |