Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cz |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-3586680000 = -1 · 26 · 37 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -1 4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,315,2025] |
[a1,a2,a3,a4,a6] |
Generators |
[0:45:1] |
Generators of the group modulo torsion |
j |
53838872576/56041875 |
j-invariant |
L |
7.8623785311796 |
L(r)(E,1)/r! |
Ω |
0.92826155932412 |
Real period |
R |
0.30250012018254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360q1 9840m1 118080du1 |
Quadratic twists by: -4 8 -3 |