Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13728n |
Isogeny class |
Conductor |
13728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
106007616 = 26 · 34 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122,120] |
[a1,a2,a3,a4,a6] |
Generators |
[13:30:1] |
Generators of the group modulo torsion |
j |
3163575232/1656369 |
j-invariant |
L |
6.6856649898846 |
L(r)(E,1)/r! |
Ω |
1.6543224612359 |
Real period |
R |
2.0206656037572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13728c1 27456c2 41184l1 |
Quadratic twists by: -4 8 -3 |