Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19941m |
Isogeny class |
Conductor |
19941 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41344 |
Modular degree for the optimal curve |
Δ |
8182563478293 = 3 · 179 · 23 |
Discriminant |
Eigenvalues |
-2 3- 0 -3 -2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8188,247060] |
[a1,a2,a3,a4,a6] |
Generators |
[385:7369:1] |
Generators of the group modulo torsion |
j |
512000/69 |
j-invariant |
L |
2.4754493181753 |
L(r)(E,1)/r! |
Ω |
0.70933085840991 |
Real period |
R |
1.7449186714677 |
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 |
59823k1 19941b1 |
Quadratic twists by: -3 17 |