Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984df |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13040339066044416 = 214 · 34 · 76 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1359472,-610532140] |
[a1,a2,a3,a4,a6] |
j |
576615941610337/27060804 |
j-invariant |
L |
4.4741255055444 |
L(r)(E,1)/r! |
Ω |
0.13981642205056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4998bd3 119952gt4 816h3 |
Quadratic twists by: -4 -3 -7 |