Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016m |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
146296545249859584 = 211 · 3 · 478 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 6 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248144,-43792116] |
[a1,a2,a3,a4,a6] |
Generators |
[42654983615:-79866168272734:12167] |
Generators of the group modulo torsion |
j |
76545506/6627 |
j-invariant |
L |
4.590173082986 |
L(r)(E,1)/r! |
Ω |
0.21508710065828 |
Real period |
R |
21.340996596103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032o2 1128c2 |
Quadratic twists by: -4 -47 |