Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360bh |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1771200 = -1 · 26 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 1 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15,63] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
-6229504/27675 |
j-invariant |
L |
8.7457699553907 |
L(r)(E,1)/r! |
Ω |
2.3035756957828 |
Real period |
R |
0.63276771350168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360m1 19680b1 118080bl1 |
Quadratic twists by: -4 8 -3 |