Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720v |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
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 |
2.0447596970884 |
L(r)(E,1)/r! |
Ω |
0.25559496212624 |
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 |
54720dx2 3420e2 18240bl2 |
Quadratic twists by: -4 8 -3 |