Atkin-Lehner |
2- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6136g |
Isogeny class |
Conductor |
6136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-159536 = -1 · 24 · 132 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 3 -2 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13,4] |
[a1,a2,a3,a4,a6] |
Generators |
[5:13:1] |
Generators of the group modulo torsion |
j |
14047232/9971 |
j-invariant |
L |
2.7499330433464 |
L(r)(E,1)/r! |
Ω |
2.0524035729872 |
Real period |
R |
0.3349649503075 |
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 |
12272f1 49088c1 55224i1 79768e1 |
Quadratic twists by: -4 8 -3 13 |