Atkin-Lehner |
3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19941b |
Isogeny class |
Conductor |
19941 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
338997 = 3 · 173 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 0 3 2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28,60] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
512000/69 |
j-invariant |
L |
2.3767605098258 |
L(r)(E,1)/r! |
Ω |
2.9246460527341 |
Real period |
R |
0.40633301722167 |
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 |
59823n1 19941m1 |
Quadratic twists by: -3 17 |