Atkin-Lehner |
3- 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45747h |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-50724685323 = -1 · 310 · 133 · 17 · 23 |
Discriminant |
Eigenvalues |
-2 3- -2 4 4 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,789,6682] |
[a1,a2,a3,a4,a6] |
j |
74512166912/69581187 |
j-invariant |
L |
1.474313986454 |
L(r)(E,1)/r! |
Ω |
0.73715699315647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15249a1 |
Quadratic twists by: -3 |