Atkin-Lehner |
2- 3- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20502bh |
Isogeny class |
Conductor |
20502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-44837874 = -1 · 2 · 39 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 -6 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5531,-156931] |
[a1,a2,a3,a4,a6] |
Generators |
[1110235530:3128428601:12167000] |
Generators of the group modulo torsion |
j |
-25664543546473/61506 |
j-invariant |
L |
8.1241927328078 |
L(r)(E,1)/r! |
Ω |
0.27680550089044 |
Real period |
R |
14.674911998991 |
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 |
6834h1 |
Quadratic twists by: -3 |