Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5428b |
Isogeny class |
Conductor |
5428 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-1281008 = -1 · 24 · 23 · 592 |
Discriminant |
Eigenvalues |
2- 1 -2 0 0 5 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134,557] |
[a1,a2,a3,a4,a6] |
Generators |
[17:59:1] |
Generators of the group modulo torsion |
j |
-16755411712/80063 |
j-invariant |
L |
4.0320758617775 |
L(r)(E,1)/r! |
Ω |
2.7343970835285 |
Real period |
R |
0.73728791733762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21712h1 86848n1 48852b1 124844a1 |
Quadratic twists by: -4 8 -3 -23 |