Atkin-Lehner |
2- 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890bf |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-7733232000 = -1 · 27 · 37 · 53 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,283,3741] |
[a1,a2,a3,a4,a6] |
Generators |
[11:84:1] |
Generators of the group modulo torsion |
j |
3449795831/10608000 |
j-invariant |
L |
8.9957842244659 |
L(r)(E,1)/r! |
Ω |
0.92895009235388 |
Real period |
R |
0.23056711059152 |
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 |
6630b1 99450bc1 |
Quadratic twists by: -3 5 |