Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ec |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7543856863641600 = 219 · 313 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13435788,-18955830512] |
[a1,a2,a3,a4,a6] |
j |
1403607530712116449/39475350 |
j-invariant |
L |
0.31542329133764 |
L(r)(E,1)/r! |
Ω |
0.078855823187516 |
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 |
54720s2 13680bn2 18240cx2 |
Quadratic twists by: -4 8 -3 |