Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135k |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
475758011633985 = 34 · 5 · 537 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23935,962432] |
[a1,a2,a3,a4,a6] |
Generators |
[-673225:-21281194:15625] |
Generators of the group modulo torsion |
j |
68417929/21465 |
j-invariant |
L |
5.138572481621 |
L(r)(E,1)/r! |
Ω |
0.48602210501806 |
Real period |
R |
10.572713521801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126405p1 795a1 |
Quadratic twists by: -3 53 |