Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4512p |
Isogeny class |
Conductor |
4512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-243648 = -1 · 26 · 34 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10,24] |
[a1,a2,a3,a4,a6] |
Generators |
[1:6:1] |
Generators of the group modulo torsion |
j |
1560896/3807 |
j-invariant |
L |
3.4114525606323 |
L(r)(E,1)/r! |
Ω |
2.1800234518967 |
Real period |
R |
0.78243483061254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4512k1 9024bg1 13536q1 112800h1 |
Quadratic twists by: -4 8 -3 5 |