Atkin-Lehner |
3+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48555b |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
321408 |
Modular degree for the optimal curve |
Δ |
-246558587109514875 = -1 · 33 · 53 · 139 · 832 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,153048,-6295548] |
[a1,a2,a3,a4,a6] |
Generators |
[62:1852:1] |
Generators of the group modulo torsion |
j |
14683950914136440832/9131799522574625 |
j-invariant |
L |
4.5622912869966 |
L(r)(E,1)/r! |
Ω |
0.17995806590871 |
Real period |
R |
2.1126640735061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48555a2 |
Quadratic twists by: -3 |