Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016g |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7580160 |
Modular degree for the optimal curve |
Δ |
7735429830086325504 = 28 · 33 · 479 |
Discriminant |
Eigenvalues |
2+ 3- -3 -5 5 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80428217,-277653187509] |
[a1,a2,a3,a4,a6] |
Generators |
[-5177:114:1] |
Generators of the group modulo torsion |
j |
200829891584/27 |
j-invariant |
L |
4.5441039388207 |
L(r)(E,1)/r! |
Ω |
0.050413569385643 |
Real period |
R |
3.7556885263449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032i1 53016f1 |
Quadratic twists by: -4 -47 |