Atkin-Lehner |
5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
5785a |
Isogeny class |
Conductor |
5785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
18078125 = 56 · 13 · 89 |
Discriminant |
Eigenvalues |
2 -2 5+ -1 2 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-66,15] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:121:8] |
Generators of the group modulo torsion |
j |
32278933504/18078125 |
j-invariant |
L |
4.9546813397466 |
L(r)(E,1)/r! |
Ω |
1.8857472930685 |
Real period |
R |
1.3137182691336 |
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 |
92560g1 52065n1 28925d1 75205d1 |
Quadratic twists by: -4 -3 5 13 |