Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ep |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.56656242304E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-768481,88709281] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:15309:1] |
Generators of the group modulo torsion |
j |
1531700117197871048/783252692578125 |
j-invariant |
L |
5.2297366314031 |
L(r)(E,1)/r! |
Ω |
0.18696831753992 |
Real period |
R |
2.3309370900285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gn3 36960bb3 |
Quadratic twists by: -4 8 |