Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038bm |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
390018605651635968 = 28 · 312 · 77 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4229420,-3346683217] |
[a1,a2,a3,a4,a6] |
Generators |
[-1181:639:1] |
Generators of the group modulo torsion |
j |
97555170295563625/4547467008 |
j-invariant |
L |
9.4017009362039 |
L(r)(E,1)/r! |
Ω |
0.10527629048401 |
Real period |
R |
2.7907817886365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346l2 7434f2 |
Quadratic twists by: -3 -7 |