Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744cb |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5313382728192 = -1 · 29 · 36 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4328,157368] |
[a1,a2,a3,a4,a6] |
j |
-148877000/88209 |
j-invariant |
L |
1.4159833947088 |
L(r)(E,1)/r! |
Ω |
0.70799169756241 |
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 |
51744bj2 103488ct2 1056j2 |
Quadratic twists by: -4 8 -7 |