Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21528o |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
721919952 = 24 · 38 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -6 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282,1285] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:23:1] [-7:54:1] |
Generators of the group modulo torsion |
j |
212629504/61893 |
j-invariant |
L |
5.7874760094359 |
L(r)(E,1)/r! |
Ω |
1.4914404553832 |
Real period |
R |
0.97011516426102 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056q1 7176i1 |
Quadratic twists by: -4 -3 |