Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10404h |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-229737133529856 = -1 · 28 · 37 · 177 |
Discriminant |
Eigenvalues |
2- 3- 1 0 5 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13872,962948] |
[a1,a2,a3,a4,a6] |
Generators |
[68:578:1] |
Generators of the group modulo torsion |
j |
-65536/51 |
j-invariant |
L |
4.9662481284044 |
L(r)(E,1)/r! |
Ω |
0.5125883204543 |
Real period |
R |
0.40369044141854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41616cb1 3468a1 612c1 |
Quadratic twists by: -4 -3 17 |