Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536t |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
903759740928 = 214 · 32 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17289568,27676730368] |
[a1,a2,a3,a4,a6] |
Generators |
[2352:4144:1] |
Generators of the group modulo torsion |
j |
139545621883503188502625/220644468 |
j-invariant |
L |
4.5465301892558 |
L(r)(E,1)/r! |
Ω |
0.40158832266533 |
Real period |
R |
0.94344754164344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442i4 78144cy4 58608bo4 |
Quadratic twists by: -4 8 -3 |