Atkin-Lehner |
2- 5- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
53950z |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-1633080850700000000 = -1 · 28 · 58 · 134 · 833 |
Discriminant |
Eigenvalues |
2- -1 5- -1 1 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,255987,-35881469] |
[a1,a2,a3,a4,a6] |
Generators |
[185:4132:1] |
Generators of the group modulo torsion |
j |
4749165493124495/4180686977792 |
j-invariant |
L |
7.4998825814605 |
L(r)(E,1)/r! |
Ω |
0.14661941056057 |
Real period |
R |
1.0656675891905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53950k1 |
Quadratic twists by: 5 |