Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720f |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
612723916800 = 216 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17388,881712] |
[a1,a2,a3,a4,a6] |
j |
450714348/475 |
j-invariant |
L |
3.6427891269614 |
L(r)(E,1)/r! |
Ω |
0.91069728210985 |
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 |
54720cv1 6840c1 54720m1 |
Quadratic twists by: -4 8 -3 |