Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984di |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
27262552375296 = 222 · 33 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19224,988308] |
[a1,a2,a3,a4,a6] |
j |
3914907891433/135834624 |
j-invariant |
L |
3.9740840334818 |
L(r)(E,1)/r! |
Ω |
0.66234733892163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998f1 119952gx1 39984bj1 |
Quadratic twists by: -4 -3 -7 |