Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642w |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-428387280838572 = -1 · 22 · 3 · 116 · 674 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3572,-999492] |
[a1,a2,a3,a4,a6] |
j |
-2845178713/241813452 |
j-invariant |
L |
7.4912720649459 |
L(r)(E,1)/r! |
Ω |
0.23410225204835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
402b4 |
Quadratic twists by: -11 |