Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19448a |
Isogeny class |
Conductor |
19448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-8090368 = -1 · 28 · 11 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 0 1 11+ 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[7:26:1] |
Generators of the group modulo torsion |
j |
43904000/31603 |
j-invariant |
L |
3.3670304018828 |
L(r)(E,1)/r! |
Ω |
1.3119102798354 |
Real period |
R |
0.32081370708382 |
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 |
38896e1 |
Quadratic twists by: -4 |