Atkin-Lehner |
2+ 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54050c |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
148480 |
Modular degree for the optimal curve |
Δ |
1683523456000 = 210 · 53 · 234 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -1 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25316,1546978] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1326:1] [97:31:1] |
Generators of the group modulo torsion |
j |
14354044876113389/13468187648 |
j-invariant |
L |
7.6704250948453 |
L(r)(E,1)/r! |
Ω |
0.83606565379801 |
Real period |
R |
1.1468036421545 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54050n1 |
Quadratic twists by: 5 |