Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984bj |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
3207412024401199104 = 222 · 33 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-941992,-340873616] |
[a1,a2,a3,a4,a6] |
Generators |
[-630:1462:1] |
Generators of the group modulo torsion |
j |
3914907891433/135834624 |
j-invariant |
L |
3.3983593106834 |
L(r)(E,1)/r! |
Ω |
0.15357211623734 |
Real period |
R |
3.6881253727851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998l1 119952dq1 39984di1 |
Quadratic twists by: -4 -3 -7 |