Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cq |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-9963000000 = -1 · 26 · 35 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 5 -6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6171,-188721] |
[a1,a2,a3,a4,a6] |
j |
-406144664367616/155671875 |
j-invariant |
L |
2.6931765391062 |
L(r)(E,1)/r! |
Ω |
0.26931765391628 |
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 |
39360bu1 19680u1 118080fg1 |
Quadratic twists by: -4 8 -3 |