Atkin-Lehner |
2- 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72720bw |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
21714075648000 = 218 · 38 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39027,-2959054] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:90:1] [-110:54:1] |
Generators of the group modulo torsion |
j |
2201566159729/7272000 |
j-invariant |
L |
11.070037306973 |
L(r)(E,1)/r! |
Ω |
0.33973830388265 |
Real period |
R |
2.7153344158458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9090i1 24240u1 |
Quadratic twists by: -4 -3 |