Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bb |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-5259657216 = -1 · 223 · 3 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-417,-4929] |
[a1,a2,a3,a4,a6] |
Generators |
[1137:6272:27] |
Generators of the group modulo torsion |
j |
-30664297/20064 |
j-invariant |
L |
6.697672898763 |
L(r)(E,1)/r! |
Ω |
0.51307546702633 |
Real period |
R |
3.2634930576491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128bk1 1254b1 120384v1 |
Quadratic twists by: -4 8 -3 |