Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21528o |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-58758006528 = -1 · 28 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 -6 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,753,8530] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:54:1] [3:104:1] |
Generators of the group modulo torsion |
j |
253012016/314847 |
j-invariant |
L |
5.7874760094359 |
L(r)(E,1)/r! |
Ω |
0.7457202276916 |
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 |
43056q2 7176i2 |
Quadratic twists by: -4 -3 |