Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
4512r |
Isogeny class |
Conductor |
4512 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
30537216 = 29 · 33 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272,-1800] |
[a1,a2,a3,a4,a6] |
j |
4362708104/59643 |
j-invariant |
L |
3.5286206339034 |
L(r)(E,1)/r! |
Ω |
1.1762068779678 |
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 |
4512b2 9024j2 13536i2 112800f2 |
Quadratic twists by: -4 8 -3 5 |