Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41652d |
Isogeny class |
Conductor |
41652 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
55503040050432 = 28 · 38 · 135 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 6 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100416,-12242396] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:22:1] |
Generators of the group modulo torsion |
j |
600018956320768/297405693 |
j-invariant |
L |
5.0496212324502 |
L(r)(E,1)/r! |
Ω |
0.26820183511616 |
Real period |
R |
3.137948472192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13884d1 |
Quadratic twists by: -3 |