Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
29988u |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-18289453771008 = -1 · 28 · 36 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 5 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5145,148862] |
[a1,a2,a3,a4,a6] |
j |
14000/17 |
j-invariant |
L |
1.3840463972667 |
L(r)(E,1)/r! |
Ω |
0.46134879908836 |
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 |
119952dv1 3332b1 29988ba1 |
Quadratic twists by: -4 -3 -7 |