Atkin-Lehner |
3+ 13+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82251a |
Isogeny class |
Conductor |
82251 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2255075667 = -1 · 33 · 132 · 192 · 372 |
Discriminant |
Eigenvalues |
1 3+ 4 4 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-555,5668] |
[a1,a2,a3,a4,a6] |
j |
-700937001387/83521321 |
j-invariant |
L |
5.6709993168098 |
L(r)(E,1)/r! |
Ω |
1.4177498388518 |
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 |
82251b2 |
Quadratic twists by: -3 |