Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314ch |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
265513581641797632 = 212 · 39 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1161986,481766145] |
[a1,a2,a3,a4,a6] |
Generators |
[663:1241:1] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
6.0629688973579 |
L(r)(E,1)/r! |
Ω |
0.30988868651367 |
Real period |
R |
0.81520789577272 |
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 |
9438i1 2574m1 |
Quadratic twists by: -3 -11 |