Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10764b |
Isogeny class |
Conductor |
10764 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
1679184 = 24 · 33 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [-2:3:1] |
Generators of the group modulo torsion |
j |
11943936/3887 |
j-invariant |
L |
5.2511710848811 |
L(r)(E,1)/r! |
Ω |
1.9995591675151 |
Real period |
R |
0.87538813057595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056u1 10764d1 |
Quadratic twists by: -4 -3 |