Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13728k |
Isogeny class |
Conductor |
13728 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-540416448 = -1 · 26 · 310 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,110,1064] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] [2:36:1] |
Generators of the group modulo torsion |
j |
2279122496/8444007 |
j-invariant |
L |
5.952969945123 |
L(r)(E,1)/r! |
Ω |
1.1686989368503 |
Real period |
R |
1.0187345530005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13728e1 27456s2 41184q1 |
Quadratic twists by: -4 8 -3 |