Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984df |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
14619618883731456 = 216 · 38 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89392,-8514220] |
[a1,a2,a3,a4,a6] |
j |
163936758817/30338064 |
j-invariant |
L |
4.4741255055444 |
L(r)(E,1)/r! |
Ω |
0.27963284410111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4998bd2 119952gt2 816h2 |
Quadratic twists by: -4 -3 -7 |