Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744bq |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7937275433472 = -1 · 29 · 32 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2728,124872] |
[a1,a2,a3,a4,a6] |
j |
37259704/131769 |
j-invariant |
L |
4.1949120637845 |
L(r)(E,1)/r! |
Ω |
0.52436400794632 |
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 |
51744by2 103488bf3 1056c4 |
Quadratic twists by: -4 8 -7 |