Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350bj |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-45361750000 = -1 · 24 · 56 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5363,149281] |
[a1,a2,a3,a4,a6] |
Generators |
[41:0:1] |
Generators of the group modulo torsion |
j |
-3183010111/8464 |
j-invariant |
L |
14.079436166201 |
L(r)(E,1)/r! |
Ω |
1.1398453979921 |
Real period |
R |
1.5440072169953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254e1 56350bk1 |
Quadratic twists by: 5 -7 |