Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524k |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-26737776 = -1 · 24 · 35 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -1 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130,581] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
-28927744/3159 |
j-invariant |
L |
8.2247286720729 |
L(r)(E,1)/r! |
Ω |
2.0559006940148 |
Real period |
R |
0.8001095279821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82524l1 |
Quadratic twists by: -23 |