Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280h |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2171904 |
Modular degree for the optimal curve |
Δ |
1.8169025E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-760681,-152406825] |
[a1,a2,a3,a4,a6] |
Generators |
[1469:43616:1] |
Generators of the group modulo torsion |
j |
11884257174421941184/4435797119140625 |
j-invariant |
L |
4.3064266705436 |
L(r)(E,1)/r! |
Ω |
0.16676609895104 |
Real period |
R |
4.3038589975775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280c1 52640j1 |
Quadratic twists by: -4 8 |