Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13600r |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
17000000 = 26 · 56 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-558,4888] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:78:1] [-12:100:1] |
Generators of the group modulo torsion |
j |
19248832/17 |
j-invariant |
L |
4.6904823319838 |
L(r)(E,1)/r! |
Ω |
2.1789825396614 |
Real period |
R |
2.152602073036 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13600p1 27200bz2 122400bj1 544b1 |
Quadratic twists by: -4 8 -3 5 |