Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230bm |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-1.5157619513803E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285055029,2634496278453] |
[a1,a2,a3,a4,a6] |
Generators |
[-19983:602304:1] |
Generators of the group modulo torsion |
j |
-1490212288072889459/881798400000000 |
j-invariant |
L |
5.2990430095136 |
L(r)(E,1)/r! |
Ω |
0.044201992465075 |
Real period |
R |
3.7463264604607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ch1 76230et1 |
Quadratic twists by: -3 -11 |