Atkin-Lehner |
5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13585a |
Isogeny class |
Conductor |
13585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
318772025 = 52 · 11 · 132 · 193 |
Discriminant |
Eigenvalues |
1 0 5+ 2 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1550,-23089] |
[a1,a2,a3,a4,a6] |
Generators |
[4372:25439:64] |
Generators of the group modulo torsion |
j |
411980256799929/318772025 |
j-invariant |
L |
4.9278711876733 |
L(r)(E,1)/r! |
Ω |
0.7608931409341 |
Real period |
R |
6.4764300301401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265ba1 67925g1 |
Quadratic twists by: -3 5 |