Atkin-Lehner |
3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355g |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
1796315625 = 32 · 55 · 13 · 173 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14405,659450] |
[a1,a2,a3,a4,a6] |
Generators |
[1866:-1024:27] [-506:9449:8] |
Generators of the group modulo torsion |
j |
67285056301217/365625 |
j-invariant |
L |
5.9621989187322 |
L(r)(E,1)/r! |
Ω |
1.3199079594431 |
Real period |
R |
0.90342646638062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56355n1 |
Quadratic twists by: 17 |