Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230bn |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
59906260260 = 22 · 38 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3339,-72495] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:27:1] |
Generators of the group modulo torsion |
j |
4243659659/61740 |
j-invariant |
L |
4.4713172353369 |
L(r)(E,1)/r! |
Ω |
0.62859656073758 |
Real period |
R |
1.7782937076014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410ci1 76230eu1 |
Quadratic twists by: -3 -11 |