Atkin-Lehner |
2- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200ba |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
84800000000 = 212 · 58 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- -1 1 -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5333,-151037] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:25:1] [158:1725:1] |
Generators of the group modulo torsion |
j |
10485760/53 |
j-invariant |
L |
5.3855642196858 |
L(r)(E,1)/r! |
Ω |
0.55883294845142 |
Real period |
R |
3.2123876700602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1325f1 84800cn1 21200j1 |
Quadratic twists by: -4 8 5 |