Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988bk |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3752373180987648 = -1 · 28 · 36 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 3 5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39207,4196990] |
[a1,a2,a3,a4,a6] |
j |
-728871512656/410338673 |
j-invariant |
L |
1.231606114333 |
L(r)(E,1)/r! |
Ω |
0.41053537144339 |
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 |
119952fw1 3332e1 29988x1 |
Quadratic twists by: -4 -3 -7 |