Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720cu |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3442684723200 = 228 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -6 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3948,33872] |
[a1,a2,a3,a4,a6] |
j |
961504803/486400 |
j-invariant |
L |
2.8009049695078 |
L(r)(E,1)/r! |
Ω |
0.70022624227808 |
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 |
54720g1 13680y1 54720dd1 |
Quadratic twists by: -4 8 -3 |