Atkin-Lehner |
5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
5785b |
Isogeny class |
Conductor |
5785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
9400625 = 54 · 132 · 89 |
Discriminant |
Eigenvalues |
-1 0 5- -4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-322,2296] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:69:1] |
Generators of the group modulo torsion |
j |
3681512411121/9400625 |
j-invariant |
L |
1.9276199616524 |
L(r)(E,1)/r! |
Ω |
2.3105426331341 |
Real period |
R |
1.6685430807548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92560n1 52065e1 28925e1 75205a1 |
Quadratic twists by: -4 -3 5 13 |