Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208f |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
835068123648 = 29 · 314 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32979,2304758] |
[a1,a2,a3,a4,a6] |
j |
10627684933256/2237301 |
j-invariant |
L |
1.733683523008 |
L(r)(E,1)/r! |
Ω |
0.86684182038514 |
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 |
98208n4 32736j4 |
Quadratic twists by: -4 -3 |