Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450bu |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-32221800000000 = -1 · 29 · 36 · 58 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4617,-297459] |
[a1,a2,a3,a4,a6] |
Generators |
[1965516:-308757:21952] |
Generators of the group modulo torsion |
j |
-38226865/113152 |
j-invariant |
L |
5.6242464382368 |
L(r)(E,1)/r! |
Ω |
0.26783717315232 |
Real period |
R |
10.499376124024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050o1 99450cm1 |
Quadratic twists by: -3 5 |