Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520f |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
263782400 = 216 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,161] |
[a1,a2,a3,a4,a6] |
Generators |
[19:60:1] |
Generators of the group modulo torsion |
j |
7086244/4025 |
j-invariant |
L |
7.4175360399952 |
L(r)(E,1)/r! |
Ω |
1.4999137760531 |
Real period |
R |
2.4726541480107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520by1 6440h1 |
Quadratic twists by: -4 8 |