Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ek |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
8339853312 = 212 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:63:1] [-16:72:1] |
Generators of the group modulo torsion |
j |
5088448/2793 |
j-invariant |
L |
9.0851005532623 |
L(r)(E,1)/r! |
Ω |
1.1379080989223 |
Real period |
R |
0.99800464574671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608fa1 38304bh1 25536cx1 |
Quadratic twists by: -4 8 -3 |