Atkin-Lehner |
2- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664s |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-1996611770608 = -1 · 24 · 72 · 135 · 193 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4674,-138985] |
[a1,a2,a3,a4,a6] |
j |
-705931834922752/124788235663 |
j-invariant |
L |
2.8594094065012 |
L(r)(E,1)/r! |
Ω |
0.28594094065013 |
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 |
6916d1 110656bl1 |
Quadratic twists by: -4 8 |