Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792m |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-15961111658496 = -1 · 218 · 36 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-396,192240] |
[a1,a2,a3,a4,a6] |
j |
-35937/83521 |
j-invariant |
L |
2.2418866020398 |
L(r)(E,1)/r! |
Ω |
0.56047165050995 |
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 |
9792bs4 153c4 1088e4 |
Quadratic twists by: -4 8 -3 |