Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536w |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
81216 = 26 · 33 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 4 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189,-1000] |
[a1,a2,a3,a4,a6] |
Generators |
[100:990:1] |
Generators of the group modulo torsion |
j |
432081216/47 |
j-invariant |
L |
5.3207488383962 |
L(r)(E,1)/r! |
Ω |
1.2876177008041 |
Real period |
R |
4.1322426952298 |
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 |
13536s1 27072bs2 13536d1 |
Quadratic twists by: -4 8 -3 |