Atkin-Lehner |
3- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289i |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1067825612604305583 = 38 · 7 · 198 · 372 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4164291,3271506570] |
[a1,a2,a3,a4,a6] |
j |
10955178380335084355377/1464781361597127 |
j-invariant |
L |
4.2596182475639 |
L(r)(E,1)/r! |
Ω |
0.26622614046502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14763h5 |
Quadratic twists by: -3 |