Atkin-Lehner |
3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289h |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-559055514632171067 = -1 · 311 · 72 · 196 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-321426,78908179] |
[a1,a2,a3,a4,a6] |
j |
-5037788782172464417/766879992636723 |
j-invariant |
L |
2.2516167046894 |
L(r)(E,1)/r! |
Ω |
0.28145208811241 |
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 |
14763d2 |
Quadratic twists by: -3 |