Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4512q |
Isogeny class |
Conductor |
4512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-129484536768 = -1 · 26 · 316 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4358,-113544] |
[a1,a2,a3,a4,a6] |
j |
-143055667000000/2023195887 |
j-invariant |
L |
2.3483572431562 |
L(r)(E,1)/r! |
Ω |
0.29354465539453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4512h1 9024bi1 13536g1 112800b1 |
Quadratic twists by: -4 8 -3 5 |