Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988z |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-2.1860724814375E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6338640,-23318771308] |
[a1,a2,a3,a4,a6] |
j |
-534274048000/4146834123 |
j-invariant |
L |
1.3434897969306 |
L(r)(E,1)/r! |
Ω |
0.041984056154099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952ek1 9996f1 29988t1 |
Quadratic twists by: -4 -3 -7 |