Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11900c |
Isogeny class |
Conductor |
11900 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-95201570800 = -1 · 24 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 5 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5,14845] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:119:1] |
Generators of the group modulo torsion |
j |
-34560/238003927 |
j-invariant |
L |
4.7958128009121 |
L(r)(E,1)/r! |
Ω |
0.84924041826 |
Real period |
R |
0.13445664692136 |
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 |
47600o1 107100bv1 11900e1 83300w1 |
Quadratic twists by: -4 -3 5 -7 |