Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720dx |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
23264361216000000 = 214 · 314 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125148,15379472] |
[a1,a2,a3,a4,a6] |
j |
18148802937424/1947796875 |
j-invariant |
L |
1.4731923620412 |
L(r)(E,1)/r! |
Ω |
0.36829809033911 |
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 |
54720v2 13680bi2 18240cf2 |
Quadratic twists by: -4 8 -3 |